Solve the simultaneous equation
2x-5y=9
3x+4y=2

Answers

Answer 1

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]

Cancel the common factor of 2.

Divide x by 1.

[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]

[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]

Cancel the common factor of 3.

Divide x by 1.

[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]

[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]


Related Questions

A negative correlation means ________. a third variable eliminates a correlational relationship one variable decreases as the other increases there is a relationship between two variables, but it is not statistically significant two variables increase together, but they are associated with an undesirable outcome

Answers

Answer:

A negative correlation means one variable decreases as the other increases.

Dose anyone know how to Determine this equation from the graph:

The equation of any non-vertical line can be written in slope-intercept form y=mx+b
In this equation, b is the slope and m is the y-intercept.

Answers

equation for graph above:
y=4/3x-3

−3x+9−2x=−12−5x infinitely,no solutions,one solution

Answers

Answer:

No solution

Step-by-step explanation:

Each side of the equation,once distributed, has 5x.

The 5x's cancel out to x= x-5

Which is incorrect and has no solution.

is it true 30 is 6 times as much as 5?

Answers

Answer:

Yes, its true that 30 is 6 times as much as 5.

6×5=30.

Answer:

yes

Step-by-step explanation:

because 6x5=30

I don’t know how do do this please help me cuz this is due before 7

Answers

Answer:

That's all

Step-by-step explanation:

you need to replace the values then solve

Answer:

27.      1^-8  =  1/1^8  =  1

28.       2^-5  =  1/2^5  =  1/32

29.       -3^-3  =  - 1/3^3  =  -  1/27

30.       2^-1   =    1/2  = 1/2

31.       -3^-4  =  -  1/3^4  =  -  1/81

32.       5^-3  =   1/5^3  =  1/125

33.       1^-99  =  1/1^99  =  1

34.       1^-3  =  1/1^3   =  1

35.       4^-3  =  1/4^3  = 1/64

36.       2^-3  =    1/2^3   =   1/8

Step-by-step explanation:

Rewrite the expression using the negative exponent rule b^−n=1/b^n

1/2^3

Raise 2 to the power of 3

1/8

The result can be shown in multiple forms, but this is fraction form.

1/8

I hope it helps!!

What time is three hours and 30 minutes after 6:30 am

Answers

The answer is 10:00 am

add 3 to 6 then add the 30 minutes to the 30 minutes which equals another hour

6+3=9 and 30+30= 60 which is an hour so the answer is 10:00 am

this is algebra 1 id appreciate it if you could help me thx!

Answers

Graph number 3, I believe

In the community raffle, Niko bought 50 tickets. The contest stated that 200 tickets were sold. What is the probability that one of his tickets will not be drawn?

Answers

The probability is 1/4 or 25%

50/200=.25 or 1/4

help asap

Which ordered pairs are solutions to the inequality – 2x +y> -4? Select each correct answer (3, -1) (1, - 2) 12 (0, -5) (-1, 1) (0, 1)

Answers

the answer is (3,1)(1,-2)

Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)

Answers

Step-by-step explanation:

gud eve.

good nigth

ilove you

How do solve this chart!? : (

Answers

It just looks like a blank chart, what's the question that goes with ur

Answer:

blank chart

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

Answer:

the anserew is all c hope this helps sorry if it dont and sorry i cant spell

pLS help me with thisss:((((((​

Answers

Answer:

C and B

Step-by-step explanation:

(6)

[tex]\frac{3x-7y}{8}[/tex] × [tex]\frac{6}{3x-7y}[/tex] ← cancel 3x - 7y on numerator and denominator

= [tex]\frac{1}{8}[/tex] × [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] → C

(7)

[tex]\frac{6x}{x^2-9}[/tex] ÷ [tex]\frac{8}{4x-12}[/tex]

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

[tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{8}{4(x-3)}[/tex] ← cancel 8 and 4 by 4

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{2}{x-3}[/tex]

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= [tex]\frac{6x}{(x-3)(x+3)}[/tex] × [tex]\frac{x-3}{2}[/tex] ← cancel x - 3 on numerator and denominator

= [tex]\frac{6x}{x+3}[/tex] × [tex]\frac{1}{2}[/tex] ← cancel 2 and 6 on numerator and denominator

= [tex]\frac{3x}{x+3}[/tex] → B

12.642 to the nearest tenth
29.10 to the nearest tenth
2,492 to the nearest tenth
3.44 to the nearest tenth
5,239 to the nearest tenth
89.43 to the nearest tenth

Answers

Answer:

12.6

Step-by-step explanation:

sorry only first one

Hello. . .

I need help please. . .

answers/w explanation. ✅

Nonsense answers, or answers that's not the question I ask for will be reported.

Answers

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

write the equation of a line that is parallel to y=12-5x and passes through the point (1,-7)

Answers

Answer:

y= -5x-2

Step-by-step explanation:

Parallel equations have the same slope, so we know our slope will be -5. To get our y-intercept, we need to plug in our slope. 1 times -5 is -5, so we need to figure out how to get from -5 to -7. We're going to subtract 2, so the y-intercept is -2.

The equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of a line that is parallel to y=12-5x and passes through the point (1,-7).

The slope of the parallel lines is always the same. The slope of the line will be -5.

The y-intercept of the line will be calculated as,

y = mx + c

-7 = -5(1) + c

c = -7 + 5

c = -2

The equation of the line will be written as,

y = mx + c

y = -5x - 2

Therefore, the equation of the line parallel to y=12-5x and passes through the point (1,-7) will be y= -5x-2.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ5

Check cashing companies
charge high fees. Banks charge
less, or nothing, to cash checks
for their account holders. How
can you be sure to avoid check
cashing companies?

Answers

Answer:

they usually cost nothing if you go through your bank

Which of the following is the correct factorization of the polynomial below?
x - 18
A. (x+3)(x-6)
B. (x-3)(x + 6)
C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.
SUBMIT

Answers

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

D. The polynomial is irreducible is the correct answer because x and -18 don't share anymore common factors for it to factorized/simplified, so x - 18 is as far as it can get.

Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal​

Answers

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

guy pls help me!!!!!

Answers

Answer:

a= 11

Step-by-step explanation:

9a+ 6°+75° =180° (straight angle, they are called supplementary angles. so sum is equal to 180°

9a +81 = 180

9a= 99

a= 11

A bottle of grape juice costs 6.50$ of you buy 6 bottles you can get 10%discount workout how much you save if you buy 6 bottles

Answers

$6.50 x 6 = $39 but buying six hives a 10% discount which would be $3.90 OFF
$39-3.90= $35.10
Your answer is you save $3.90 by buying six bottles

1 3x5 x 2 1x3 i don't know what eles to right but what is the answer

Answers

Is it 13x^5 times 21x^3?

Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?

Answers

Answer:

to find the whole ratio from a part use a reciprocal (i.e for this one 1/4, it's 4)

Then wee multiply it to 2/3

2/3 x 4 = 8/3 = 2.666666666 = 2.67

8/3 or 2.67 is the answer

Step-by-step explanation:

I need helppp plzz
i'll brainliest

Answers

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

NO LINKS NO LINKS NO LINKS

Answers

Answer:

−1(−15)(−3)

Hope this helps :)

-m2 + 18 m = 45

-m2 + m = 45/18

-m2 + m = 15/6

-m2 + m = 2.5

hope this helps



which the following is a solution to the inequality below

5> x

Answers

Answer:

x < 5

Step-by-step explanation:

1) Swap sides

5 > x

Swamp sides:

x < 5

2) Solution on coordinate plane

Solution: x < 5

Interval Notation: (-∞,5)

Help! evaluate this number

Answers

Answer:

-12×3 = -36.............

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year

Answers

The value of the stamp at the end of the third year is £976.31.

How to calculate the value?

From the information, Sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years.

First year value:

= 920 + (2% × 920)

= 938.4

Second year value:

= 938.4 + (2% × 938.4)

= 957.168

Third year value:

= 957.168 + (2% × 957.168)

= £976.31

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Complete question

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year. What is the cost by the end of. the third year?

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

please help with these question, giving brainliest :)

Answers

Answer:

Step-by-step explanation:

Other Questions
Graphing linear equations and inequalities 3Y minus 2X equals nine Part F What are some potential applications of a material that make things invisible? It is important to understand that while the absorbance value is related to the amount of light absorbed by a sample, it is not equal to or directly proportional to the amount of light absorbed. Consider a situation where 100 photons of light pass through a sample. After the light passes through the sample, 64 photons are detected. a) How many photons were transmitted through the sample what is cuban missile crisis? What is a human microbiome? the process of copying audio and/or video data from a purchased disc and saving it on digital media is called ____. Find the distance from point A (-1/4,5)to the line - x + 2y = 14. Round your answer to the nearest tenth. Readers of Hamlet have long wondered why Rosencrantz and Guildenstern do whatever the King and Queen ask them to do, even though theyare close friends of Hamlet's. Why would they obey the leaders of their country and perhaps unknowingly betray their friend? Craft an argumentof at least 300 words that explains everyone's behavior. i need help to a can get an A Which phrase is the best definition of a play?A.a story that focuses closely on key details of settingB.a story that only makes sense when read aloud by actorsC.a story told one verse at a time, using lines and sometimes stanzaD.a story with lots of dialogue and very little description of setting If a local store publishes a misleading advertisement, which organizationcould best help you resolve the situation? Subtract the linear expressions. (2.6x+4.2)(3.9x+2.5) What is the difference? Enter your answer in the box. Someone pls help me I will make you brain Find the y-coordinate of the vertex point of y = -4(x - 4)(x + 17 Find the unit rate of sugar to baking powder in the recipe above.Cookie Recipe: 3 cups flour, 2/3 cup sugar, 1/2 cup butter, 1/4 cup baking powder In the hunger games, what are the pros and cons of Peeta and katniss being coached together If you can help please do! Thank you! The movement of cytoplasm is due to the movement of chloroplasts in the living cells of onion plant, while the movement of chloroplasts is due to the movement of cytoplasm in the living cells of bean plants which statement is correct and which one is wrong What determines the exchange rate?1. the president2. the strength of the economy3. bankers4. Wall Street brokers OMG I NEED HELP WITH THIS ANSWER RN The temperature in Little Rock, Arkansas, is 66F, and the temperature in Lincoln, Nebraska, is 82F. Which of the following is true? A. Little Rock's temperature > Lincoln's temperature B. Little Rock's temperature = Lincoln's temperature C. Little Rock's temperature < Lincoln's temperature