if x+y= -10 and x-y=2 what is the value of x

Answers

Answer 1

Answer:

X+Y=10, X-Y=2, what is X, Y?

Answer: x=6 and y=4

Explanation:

Given:

x+y=10 ⟶(i)

x−y=2 ⟶(ii)

From equation (ii) ,

x=2+y

Put value of x in equation (i) ,

2+y+y=10

2+2y=10

2(1+y)=10

1+y=102

1+y=5

y=5−1

y=4

Put value of y in equation (ii) ,

x−4=2

x=2+4

x=6

x + y = 10 → Eq A

x – y = 2 → Eq B

Now we will take out the expression of x from Eq A.

x + y = 10 Eq A

x = 10 – y → Expression of x

Now put the expression of x in Eq B.

x – y = 2

( 10 – y ) – y = 2

10 – 2y = 2

10 – 2 = 2y

8 = 2y

y = 8 / 2

y = 4

Now put the value of y in expression of x.

x = 10 – y

x = 10 – 4

x = 6

So, x = 6 and y = 4.

Thank you.

Hope it helps and you like it

Answer 2

x + y = - 10 (equation 1)

x - y = 2 (equation 2)

using equation 2 we get x = 2 + y

putting the value of x in equation 1 we get :

(2 + y) + y = - 10

2 y = -10-2

2 y = -12

y = -6

put the value of y in any equation

to get the value of x

x - y = 2

x - (-6) = 2

x + 6 = 2

x = -4


Related Questions

20 POINTS!!! PLEASE ANSWER

Answers

Answer: C

Step-by-step explanation:

[tex]5\left(4x+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:property}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]=5\cdot \:4x+5\cdot \:5[/tex]

[tex]\bf=20x+25[/tex]

Amanda invests a sum of money in a retirement account with a fixed annual interest rate of 9 % compounded ontinuously . After 19 years , the balance reaches $38,956.06. What was the amount of the initial investment ?

Answers

Answer:

  $7045.82

Step-by-step explanation:

The formula for the balance of an account earning interest at rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P, given the other parameters in this formula.

__

  38956.06 = P(e^(0.09×19)) = P(5.52896148)

  P = 38956.06/5.52896148 ≈ 7045.82

The amount of the initial investment was about $7045.82.

Variability ? I'm confused

Answers

Variability in statistics… Let's see...dispersion is the degree to which a percentage is stretched or even squeezed. Some examples of measures of statistical “dispersion” ( or distribution) are the variance, standard deviation, and interquartile span. Like when the variance of data in a set is big; the data is gretaoy dispersed. (Variance is the measure of “variability” and for shorter terms of what I said, it is basically computed by taking the average of squared deviations from the thing.) hope I helped ask me for any questions I’m a 5th grader who likes science. Sorry I took to long to respond I had to look back at my notes for a better explanation.

Please please help!!! will give brainliest

Answers

Answer: i think the answer is 116. if it is not i am terribly sorry.

Step-by-step explanation:

What is 56 ÷ (-8) = ___ need fast will give brainliest

Answers

Answer:

-7

Step-by-step explanation:

^

Answer:

-7

Step-by-step explanation:

Simplifly the expression: x-3x-(-5x)

Answers

Answer:

The answer is 3x.

Step-by-step explanation:

I used a calculator


What does the notation P(B|A) mean?

Answers

Answer:

the answer for this one it should be the probability or chances that the event b occurs when the event a has occured.

Step-by-step explanation: I hope this help you pal or folk and have a great day.

Edna, Fatimah and Toby had a sum of money. The amount of money Edna had was 4 times the amount of money Fatimah had. The ratio of the amount of money Fatimah had to the total amount of money Toby and Fatimah had was 5:8. After Fatimah gave $30 to Toby, Toby had as much money as Fatimah. How much more money did Edna have than Toby in the end?



HELP ME PLEASE ! HOMEWORK DUE IN LESS THAN 2 HOURS! NO CLUE ON HOW TO DO THIS ! OFFERING 15 POINTS​

Answers

Answer:

Edna had $510 more amount of money than Toby in the end.

Step-by-step explanation:

LET :-

Edna's amount of money - x

Fatimah's amount of money - y

Toby's amount of money - z

Now,

By the question,

x = 4y

y : (y + z) = 5 : 8

y - 30 = z + 30

Now,

y : (y + z) = 5 :8

or, y/(y + z) = 5/8

or, 8y = 5y + 5z

or, 3y = 5z

so, y = 5z/3

Now,

y - 30 = z + 30

or, 5z/3 - 30 = z + 30

or, (5z - 90)/3 = z + 30

or, 5z - 90 = 3z + 90

or, 5z - 3z = 90 + 90

or, 2z = 180

so, z = 90

Toby's amount of money - $90

Now,

y = 5z/3

or, y = 5 * 90/3

or, y = 5 * 30

so, y = 150

Fatimah's amount of money - $150

Again,

x = 4y

or, x = 4*150

or, x = 600

Edna's amount of money - $600

Now,

$600 - $90

= $510

Therefore,Edna had $510 more amount of money than Toby in the end.

Question is in picture

Answers

Answer: Heat pollution.

If you are to search up

heat pollution occurs because?

the answer that will pop up is:

The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).

Convert the decimal to a percent. 0.725

Answers

Answer:

72.5% out of 100%

Step-by-step explanation:

0.725 is 72.5% of 1. 100% technically counts as 1. so 72.5%

.725=72.5%
.725 is out of 1, and you multiply that number by 100 to get the percentage

Please help meeee!!!!!

Answers

Answer:

Now plot those points in graph and find intersection hope it helps you.......

A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =

are you expected to win or lose the raffle? =

a fair price for the raffle ticket? =

Answers

Expected to lose. they initially paid $350 for the tickets and are up charging the price. and the winning price is $100 less.

all ratios equivalent to 6:4.

Answers

Answer:

Give two equivalent ratios of 6 : 4. 6 : 4 = 6/4 So, equivalent ratios are 6/4 × 2/2 = 12/8 = 12:8 6/4 × 3/3 = 18/12 = 18:12 So, 6 : 4 = 12 : 8 = 18 : 12

Step-by-step explanation:

Please help!!!!!!!! Determine the function which corresponds to the given graph.

Answers

The rational function shown in the graph is:

[tex]y = \frac{x - 6}{x - 5}[/tex]

How to determine the function?

First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.

Then the rational function is something like:

[tex]y = \frac{g(x)}{x - 5}[/tex]

We also can see that when x = 6, the function intercepts the x-axis, then we must have that:

g(6) = 0

So we can define:

g(x) = x - 6

So the rational function is:

[tex]y = \frac{x - 6}{x - 5}[/tex]

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available​ (there are no two the​ same). In how many ways can the selections be​ made?

Answers

Her 5 Children? but they have 8 different boxes?

How many grams are in 2.2 kilograms?​

Answers

Step-by-step explanation:

the word kilo means thousand. By that logic we know that 2200 grams are in 2.2 kilograms

Please help me solve this question

Answers

Answer:D

Step-by-step explanation: Multiply the expression

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

To find the missing angle's measure

 ⇒ important to understand the sum of the angles of a triangle

    ⇒ the sum of every angle of any triangle in all cases equal to 180

         degrees

What is the information given:

 ⇒ one angle is of 94 degrees and the other of 46 degrees

Using the information in the first section and the information given in the diagram, let's set up an equation:

  [tex]94+46+x = 180\\140+x = 180\\x = 40[/tex]

The measure of the missing angle is 40 degrees

Hope that helps!

What is 40/17 rounded to the nearest hundred

Answers

The answer is 2.3529411etc, and hundredth is two digit to the right of the decimal, so it's2.35 and the question said is rounded so we should see the next digit-thounsandth, and use Rounding method the thounsandth digit number is 2,it'sless than 5, so it shouldn't add
So the answer is 2.35

68 is 17% of what number?
68 = 0.17 • X
x = [?]

Answers

Answer:

400

Step-by-step explanation:

Division cancels multiplication. Divide by 0.17 to isolate "x" on the right side of the equation.

68 = 0.17 * x

divide both sides by 0.17

400 = x

68 is 17 percentage of the number 400.

To find the number that 68 is 17% of, we can set up the equation:

17% of x = 68

To solve for x, we need to divide both sides of the equation by 17% (or 0.17 as a decimal):

x = 68 / 0.17

Evaluating the division:

x=400

Therefore, 68 is 17% of 400.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ6

X' + 2y' + x = 0 , x' - y' + y = 0 x(0) = 0 and y(0) = 1

Answers

This looks like a system of differential equations.

[tex]\begin{cases}x' + 2y' + x = 0 \\ x' - y' + y = 0 \\x(0)=0, y(0)=1\end{cases}[/tex]

Eliminating x' gives

[tex](x'+2y'+x)-(x'-y'+y) = 0 - 0 \implies 3y' - y + x = 0[/tex]

and eliminating y' gives

[tex](x'+2y'+x) + 2(x'-y'+y)=0+2\times0 \implies 3x' + x + 2y = 0[/tex]

so that we can rewrite the system as

[tex]\begin{cases}3x' = -x - 2y \\ 3y' = -x + y\end{cases}[/tex]

or equivalently in matrix form as

[tex]\begin{bmatrix}x\\y\end{bmatrix}' = \dfrac13 \begin{bmatrix}-1&-2\\-1&1\end{bmatrix} \begin{bmatrix}x\\y\end{bmatrix}[/tex]

Compute the eigenvalues for the coefficient matrix:

[tex]\det\begin{bmatrix}-1-\lambda&-2\\-1&1-\lambda\end{bmatrix} = (-1-\lambda)(1-\lambda) - 2 = \lambda^2 -3 = 0 \implies \lambda=\pm\sqrt3[/tex]

Compute the corresponding eigenvectors:

[tex]\lambda=\sqrt3 \implies \begin{bmatrix}-1-\sqrt3&-2\\-1&1-\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1=(1-\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1-\sqrt3\\1\end{bmatrix}[/tex]

[tex]\lambda=-\sqrt3 \implies \begin{bmatrix}-1+\sqrt3&-2\\-1&1+\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1 = (1+\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]

We end up multiplying the matrix by 1/3, so the eigenvalues also get scaled by 1/3 and λ = ±1/√3. The eigenvectors stay the same.

Then the characteristic solution to the system is

[tex]\begin{bmatrix}x\\y\end{bmatrix} = C_1 e^{t/\sqrt3} \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 e^{-t/\sqrt3} \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]

Use the initial conditions to solve for the constants.

[tex]\begin{bmatrix}0\\1\end{bmatrix} = C_1 \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]

[tex]\implies \begin{cases}(1-\sqrt3) C_1 + (1+\sqrt3) C_2 = 0 \\ C_1 + C_2 = 3\end{cases}[/tex]

[tex]\implies C_1=\dfrac{3+\sqrt3}2, C_2=\dfrac{3-\sqrt3}2[/tex]

Then the particular solution is

[tex]\begin{bmatrix}x\\y\end{bmatrix} = \dfrac{3+\sqrt3}6 e^{t/\sqrt3} \begin{bmatrix}1-\sqrt3\\1\end{bmatrix} + \dfrac{3-\sqrt3}6 e^{-t/\sqrt3} \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]

or

[tex]\begin{cases}x(t) = -\dfrac1{\sqrt3} e^{\sqrt3 \, t} + \dfrac1{\sqrt3} e^{-\sqrt3\,t} \\\\ y(t) = \dfrac{3+\sqrt3}6 e^{\sqrt3\,t} + \dfrac{3-\sqrt3}6 e^{-\sqrt3\,t}\end{cases}[/tex]

Find the turning point of y=x^2+10x+12

Answers

Answer:

vertex = (- 5, - 13 )

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the turning point ( vertex) is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 10x + 12 ← is in standard form

with a = 1, b = 10 , then

x = - [tex]\frac{10}{2}[/tex] = - 5

substitute x = - 5 into the equation and evaluate for y

y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13

turning point = (- 5, - 13 )

Nancy Regan purchased a new diamond bracelet for $12,600. The state sales tax is 6% and the federal excise tax on the jewelry is 11%. What is the total purchase price of the bracelet? Round your answer to the nearest cent.

Answers

Using proportions, it is found that the total purchase price of the bracelet is of $10,769.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we consider the two taxes, of 6% and 11%, hence the price suffers an increase of 17%, that is, the price is multiplied by 117% = 1.17 to reach $12,600, hence:

1.17p = 12600

p = 12600/1.17

p = 10769.

The total purchase price of the bracelet is of $10,769.

More can be learned about proportions at https://brainly.com/question/24372153

Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100

B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100

Answers

Answer: I believe B and F

Step-by-step explanation:

I think it is E
Hope this help?!

Paige mixed 11 gallons of lemonade and poured it into
seven 6-quart jugs. How many cups of lemonade were left
over after she filled the jugs?

Answers

Answer:

152 cups

Step-by-step explanation:

1. 44 quarts are in 11 gallons.

2. 44-6=38.

3. There are 152 cups in 38 quarts.

if x+y= -10 and x=2 what is the value of x

Answers

Answer:

x = 2     y = -12

Step-by-step explanation:

x+ y = -10

2 + y = -10

      y = -10 -2 = -12

Find the equation that represents the relationship between the variables.

Answers

to get the equation of any straight line, we simply need two points off of it, hmmm let's use (0 , 10) and (8 , 30) from the table

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{30}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{0}}}\implies \cfrac{20}{8}\implies \cfrac{5}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y-10=\cfrac{5}{2}x\implies y=\cfrac{5}{2}x+10[/tex]

A store's change in total revenue over a 4-month period is −$1240. What is the average change in revenue per month for that period?
Answer Choices:
−$4960

−$310

$310

$4960

Answers

Answer: -310

Step-by-step explanation:

-1240÷4

12) A job offers you $15 an hour. Your boss
states that a percentage of your check will
be taken out for taxes, and then $35 for
medical insurance and $4 for dental
insurance. If you worked 38 hours, and
your total paycheck (for the week) was
$462.60, what percentage is taken out for
taxes?

Answers

Answer:

12%

Step-by-step explanation:

Total paycheck before taking out taxes and insurance :

38×15 = 570

Left Amount of money after applying taxes :

570 - 570×(p/100)

= 570×[1 - (p/100)]

= 570×[(100-p)/100]

= (570/100) × [100 - p]

= 5.7 × [100 - p]

After taking out  the insurance amounts we can write this equation:

.,7 × [100 - p] - (35+4) = 462.6

⇔ 5.7 × [100 - p] - 39 = 462.6

⇔ 5,7 × [100 - p] = 462.6 + 39

⇔ 5,7 × [100 - p] = 501.6

⇔ 100 - p = 501.6/5.7

⇔ 100 - p = 88

⇔ p = 100 - 88

⇔ p = 12

What is the slope of the equation y-3 = -4(X - 5)?
04
0-3
20
023

Answers

M=-4

M=-4 M=-4 M=-4 M=-4 M=-4 M=-4 M=-4
Slope-intercept form: y = mx + b
y -3 = -4(x - 5)
y- 3 = -4x -5*(-4)
y - 3 = -4x + 20
y = -4x + 20 + 3
y = -4x + 23
On comparing with the y=mx+b,
Slope = m = -4
Other Questions
PLS HELP!JL!!!!!!!!!!!!!!!!!!!! How are attempts to increase entrepreneurship and grow a skilled workforce in brazil hindered?A. 60 percent of Brazilians have four years of schooling or lessB. Most farms and ranches are owned by corporations or wealthy familiesC. The cities in Brazil are too overcrowded. Find the total amount of the mortgage if the closing costs are financed. 1. Jack and Dina King purchase a home with a mortgage loan of $420,000. When you want to turn, how far from your turn must you signal?. What belief was central to the teachings of John Calvin? This is a potato plant The potatoes you eat grow underground, attached to the roots. What other function do the roots have?A) absorb water and nutrientsB) make food by photosynthesisreproduction and seed-productionD) collecting sunlight BRAINLIEST AND 50 PTS PLS HELP! There are 1900 households in Ludington. 50 households were surveyed randomly regarding the number of adults living in their home, and the results are displayed in this table.1 2 3 4 5 or more13 27 7 1 2How many households in Ludington would you expect to have 2 adults living in their home?Enter your answer in the box. households (ancient china) zhou rulers were expected to rule in the proper way which was known as the _____ What is the speed of light in quartz (n=1.54)? Will light travel faster or slower through ruby (n = 1.76) than quartz? HELP ME OUT PLS!!!!!!! Our earth is situated in the Milky Way galaxy. The Milky Way galaxy is which type of galaxy?elliptical irregular spiral oval Place the following words in the appropriate column below based on the sounds they make.parler aider plaire j'aurai dsole rptez une fte un htel une clbrit seize une maison laide vous aimez sept dernire enchant acute or grave describe the damage which you can see and effects of the damage on crops by insects pest . 3. Did trilobites and dinosaurs live at the same time? what is the thesis statement of the cay How does the interaction between helmer and nora advance the plot? nora realizes that helmer will completely disapprove of her having borrowed money, so she has to continue to keep it a secret from him. nora realizes that she and helmer have the same ideas about financial issues, and the conversation brings them closer together later in the play. helmer realizes that nora is more responsible with money than he originally thought, and he trusts her more with finances later in the play. nora realizes that helmer knows a lot more about borrowing and lending, and she will seek his input later when she needs it. Find the meanX. 10 20 30 40 50 60 F. 4 5 6 2 3 5 critically discuss how the youth can use social media to encourage their peers to become more responsible citizens Describe what corn, dogs, and genes have in common 3sqrt x =x-4[tex]3 \sqrt{x} = x - 4[/tex]solve for x what did larry casuse, a member of the university of new mexico's kiva club, do to protest hate crimes and racial violence in gallup?