Solve the system of equations please
1/4x+y=1
3/2x-y=4/3

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=\dfrac{4}{3};\ y=\dfrac{2}{3}\to\ \left(\dfrac{4}{3};\ \dfrac{2}{3}\right)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}\dfrac{1}{4}x+y=1\\\dfrac{3}{2}x-y=\dfrac{4}{3}\end{array}\right}\qquad|\text{add both sides of the equations}\\\dfrac{1}{4}x+\dfrac{3}{2}x=1+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{3\cdot2}{2\cdot2}x=\dfrac{3}{3}+\dfrac{4}{3}\\\\\dfrac{1}{4}x+\dfrac{6}{4}x=\dfrac{3+4}{3}\\\\\dfrac{1+6}{4}x=\dfrac{7}{3}\\\\\dfrac{7}{4}x=\dfrac{7}{3}\qquad|\text{multiply both sides by}\ \dfrac{4}{7}[/tex]

[tex]\dfrac{4\!\!\!\!\diagup}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{4\!\!\!\!\diagup}x=\dfrac{4}{7\!\!\!\!\diagup}\cdot\dfrac{7\!\!\!\!\diagup}{3}\\\\x=\dfrac{4}{3}[/tex]

Put it to the first equation

[tex]\dfrac{1}{4\!\!\!\!\diagup}\cdot\dfrac{4\!\!\!\!\diagup}{3}+y=1\\\\\dfrac{1}{3}+y=1\qquad|\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}\\\\y=\dfrac{3}{3}-\dfrac{1}{3}\\\\y=\dfrac{3-1}{3}\\\\y=\dfrac{2}{3}[/tex]


Related Questions

Please answer fast and write equations for each question!!!

Jimmy’s deck is going to be 100 m2. He has calculated that it will cost him $50/m2 for all the materials needed to build his deck. Jimmy has $5500 on his credit card for this project. Does he have enough money to complete this project?

3. The Housing Depot offers Jimmy a great deal: no interest on his project if he pays it off in a year. How much will Jimmy have to pay each month so that he is debt-free in a year?

Answers

Answer:

D. 411.25

Step-by-step explanation:

i did edg.

Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much larger than 1.

1,000,001÷99

3.7÷4.2

1÷835

100÷1100

0.006÷6,000

50÷5014

Answers

Answer:

1- more than 1

2-less then 1

3-less then 1

4- less then 1

5-less then 1

Step-by-step explanation:

I NEED HELP ASAP <3

Mateo’s aunt bought a share of stock many years ago.

The value of the stock increased by 80%.

Its value is now $270.

What was the value of the stock when Mateo’s aunt bought it?

Answers

I will simplify the question.

The stock has increased 80% hence it is now worth 180%.

Find the original 100%.


First find 1% (Divide by 180)
$270/180 = $1.50

Now find 100% (Multiply by 100)
$1.50 X 100 = $150

The answer is $150

The value of the stock when Mateo’s aunt bought it was $150.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We need to find the value of the stock when Mateo’s aunt bought it.

Given that the value of the stock increased by 80%. Its value is now $270.

The stock has increased 80% thus it is now worth 180%.

Then Divide by 180;

$270/180 = $1.50

Now find 100% then Multiply by 100;

$1.50 X 100 = $150

The value of the stock when Mateo’s aunt bought it was $150.

Learn more about multiplications;

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Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then
explore the town. The movie will cost the family $36, and parking costs $4 per hour.
Write an inequality that shows that Tyra's family spends less than their limit.
It will be an addition problem on one side that adds what they have spent. Remember,
since it is an inequality, it won't have an equal sign. It will have greater than > or less
than < sign. Also, it will have a variable. What is the unknown in this scenario?

Answers

Answer:

I wish I had the answer for you since I feel the same way when I have a teast n iono the answer its soo stressing hope you have u get a good grade by finding the answer some how.  

SRRY

Answer:

40 the answer is far too because you are 36 with 4 and it's equal

plz help 100 points!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure is number two

Step-by-step explanation:

because I solved the problems

Answer:

The answer is A

Step-by-step explanation:

Express the number in scientific notation as real numbers:

[tex]9.4 \times {10}^{ - 8} = 0.000000094 \\ 9.25 \times {10}^{ - 6} = 0.00000925 \\ 2.5 \times {10}^{3} = 2500 \\ 7 \times {10}^{3} = 7000[/tex]

So, from least to greatest;

[tex]0.000000094 - 0.00000925 - 2500 - 7000[/tex]

9.4 x 10^-8, 9.25 x 10^-6, 2.5 x 10^3, 7 x 10^3 (first option)

Solve: 3(x- 2)= 18.

X=

Answers

Answer:

x = 8

Step-by-step explanation:

3(x-2)=18

3x-6=18

3x=24

x=24/3

x=8

Answer:

x = 8

Step-by-step explanation:

3 (x - 2) = 18

3x - 6 = 18

18 + 6 = 24

3x = 24

x =

There are 20 students in a math class who have brown hair. This represents 80 percent of the students in the class

Answers

Answer:

its 90% if you work it out

Step-by-step explanation:

I hope this is the answer

It is 90% of the class

Elaine says, “To find 6 ➗ 2/3, I can just take the value of 6 ➗ 1/3 then either multiply it by 1/2 or divide it by 2.” Do you agree with her? Explain why or why not.

Answers

Answer:

I do not agree with her

Step-by-step explanation:

You can find the answer by doing the keep change flip method. So keep the 6, chnage the sign to a multiplication sign, then flip the 2/3 to 3/2. Then you multiply and you get 18/2 which simplifies to 9.

QUICK HELP MEEE get this right pls :(

Answers

Answer:

(n*3)+15

Step-by-step explanation:

Number times 3 = 3n

adding 15 so

(n*3)+15

PLEASE HELP ME, I WILL GIVE BRAINLIEST (I WILL GIVE 50 POINTS)

Answers

Answer:

B, D, E

Step-by-step explanation:

[tex]B.\\\left(8\dfrac{4}{5}+3\dfrac{2}{10}\right)+\left(-1\dfrac{1}{5}\right)=8\dfrac{4}{5}+\left(3\dfrac{2}{10}+\left(-1\dfrac{1}{5}\right)\right)=8\dfrac{4}{5}+\left(3\dfrac{2}{10}-1\dfrac{1}{5}\right)[/tex]

[tex]D.\\8\dfrac{4}{5}+3\dfrac{2}{10}-1\dfrac{1}{5}=8\dfrac{4}{5}+\left(3\dfrac{2}{10}-1\dfrac{1}{5}\right)[/tex]

[tex]E.\\-\left(-8\dfrac{4}{5}\right)-\left(-3\dfrac{2}{10}\right)+\left(-1\dfrac{1}{5}\right)=8\dfrac{4}{5}+3\dfrac{2}{10}-1\dfrac{1}{5}=8\dfrac{4}{5}+\left(3\dfrac{2}{10}-1\dfrac{1}{5}\right)[/tex]

Used:

Associative property

[tex](a+b)+c=a+(b+c)=a+b+c[/tex]

and

[tex](-)(-)\to(+)\\(-)(+)\to(-)\\(+)(-)\to(-)[/tex]

Answer: D

Step-by-step explanation: The answer is D. It's pretty straight forward. Compare the two answers and you will see that D is equivalent to that equation.

Need help asap. Algebra 1 Thanks so much!!!

Answers

This is true because if it’s positive it goes from left to right
true bc if it’s positive it’s left to right

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral EFGH on the graph below.
Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral EFGH?

Answers

Times 4 I’m pretty sure that’s it

Option D is correct  (x, y) → (2.5x, 2.5y).

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral EFGH on the graph below.

Since Scale factor:

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

In our case,

A dilation of 2.5 because side AB is 4 units and EF is 10 units and if you divide 10/4 will get you with your scale factor.

thus, Scale factor is 2.5

Therefore,  best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral EFGH is D. (x, y) → (2.5x, 2.5y)

Learn more about coordinates here:

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Complete question:

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral EFGH on the graph below.

Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral EFGH?

A .(x, y) → (x + 3, y + 1.5)

B. (x, y) → ( x - 1.5, y + 3)

C. (x, y) → (0.4x, 0.4y)

D. (x, y) → (2.5x, 2.5y)

Multiply: 14.3 x -0.5

Answers

Answer:

The answer is -7.15, hope this helps.

-7.15 is the correct answer

What meaning does -1 have for this equation - 2x + 5=6+3x
and heree is ten points

Answers

Answer:

The Answer is -1=x .

HEEEELLLLLPPPPP MEEEEEEE PPPLLLEEEEEEAAASSSSSSEeEEEEE
Pls help :)

Answers

Answer:

-14

Step-by-step explanation:

Answer:

-14, fourth choice

Step-by-step explanation:

absolute value is represented with this |x|, the 2 lines

The absolute value for a real number, in this case -14, is the non-negative value without regard to its sign. So the absolute value of -5 would be 5, and the absolute value of 7 would still be 7

In this case there's no 14, so u can choose -14

Please help me I will give you the brain thing and extra points. (image below) 3/13

Answers

Answer:

x=14

Step-by-step explanation:

3x-6=2(x+4)

3x-6=2x+8

+6      +6

3x=2x+14

-2x -2x

x=14

The answer is x = 14.

please help ~~ and if you could, please explain what a constant of proportionality is :)

Answers

Answer:

The answer is D. k=5

Step-by-step explanation:

The constant of proportionality is just the rate the x increases or decreases at.  The x is increasing by 5 over time so the COP or rate is 5.

Answer:

The answer is D: K=5

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

So, what you do is that you get the first number, which is 5/25. Simplify it and divided to get it as low as possible, if you do that, you would get 1/5 and 1/5 can also mean 5/1 in these situations. So your basic answer is 5.

help me solve the problems, please! I will give the brainiest!

Answers

Answer:

1/5

1/3

Step-by-step explanation:

For the first problem:

5/7 of ... is 1/7

so

5/7 of x is equal to 1/7

so

(5/7)x = (1/7)

so

x = (1/7)/(5/7)

so

x = 1/5

For the second problem:

5/7 of ... is 5/21

so

5/7 of x is equal to 5/21

so

(5/7)x = (5/21)

so

x = (5/21)/(5/7)

so

x = 1/3

There now u can mark them brainiest lol x=1/3

I will give brainliest to first awnser

What is the slope of the line representing the conversion of degrees to gradients?
Express your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

1.11

Step-by-step explanation:

The Slope is defined as the rate of change.

In this case,

Slope = -200+100/-180+90

         = -100/-90

         = 10/9

         = 1.11

Sally and Marta had the same number of postcards. After Sally sold
18 of her postcards, Marta had 4 times as many postcards as Sally.
How many postcards did each girl have to begin with?

Answers

Answer:

the equation x - 18 = 4(x - 18)

Step-by-step explanation:

x - 18 = 4x - 72

x - 4x = - 72 + 18

- 3x = - 54

x = 54/3

x = 18

Sally had 36 postcards to begin with (18 + 18)

martha had 0 postcards to begin with

i feel like i did something wrong someone double check this but i think this is the answer.

Answer:

x-18 = 4(x-18)

Step-by-step explanation:

x-18 =4x-72

3x =54

x=54/3

x=27

Please help me ASAP and I will give brainiest.

Answers

Answer:

4+-2

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

12 years ago, Catherine deposited $200 in a savings account that pays 7.25% simple interest. What is the balance in Catherine’s account?

Answers

Answer:

$374

Step-by-step explanation:

I=PRT

I=Interest

P= starting amount

R= Rate

T= Time

12*200=2400*(0.0725)=174+200=

$374

Rearrange each of the following in slope/y-intercept form, y = mx + b.

a) 3x−6y+8=0
b)−2x−5y+30=0

Answers

a) y=1/2x + 4/3
b) y=-2/5x + 6
a) y=1/2x-8/6
b) y=-2/5x+30

What percent is represented by the shaded portion of this 10 × 10 grid?

A grid model has 100 squares. 40 squares are shaded

1. 4/100
2. 40/100
3. 4%
4. 40%

Answers

Answer:

answer #4

Step-by-step explanation:

because you have 100 tiles. if you fill in 1 tile, that 1 percent. if you fill in 4 tiles, that 4 percent. you fill in 40? 40 percent. and option 2 is not a percentage so it cannot be correct

Which of the following equations is graphed below? 3 x - 5 y = 2 3 x + 2 y = 4

Answers

Answer:

I am pretty sure it is 3x-5y=4

Step-by-step explanation:

You have to put the equation in point slope form and 3x-5y=4 in point slope form is y=3/5x-4/5

Answer:

The answer is 3x - 5y = 2

Step-by-step explanation:

What do you get when you subtract the actual number from the estimated number?

Answers

0 is your answer ...........

Answer:

you would most likely get a decimal but I'm not for sure

Step-by-step explanation:

What is the value of the 30th term in the following arithmetic sequence?

12, 6, 0, -6, ...

a. 186
b. -162
c. -186
d. 342

Answers

Answer is C. -186

Because to find the nth term you need to see the pattern . It’s going down in -6 so -6n , then you do inverse to the first number , so +6 to 12 =18 . This makes -6n +18 . This is your formula just substitute n for 30 and you will get -162.

-6 x 30 = -180 , -180 + 18+ -162
I believe it’s b but I could be wrong

A 1-inch length in the scale drawing below corresponds to a length of 12 feet in the actual room.

Answers

Answer: Im going to say 3 over 5 and 8

Step-by-step explanation:

3 over 5 and 8
Hope this helps

I'm having a bit of trouble with this!! The question is included with the screenshot!
25 points for answering this!! :)

Answers

Answer: 27

Step-by-step explanation: you care the 4 and make it a 7 and then add your 2

I hate math ill give brainliest

Answers

Answer:

-4x + 9x

Step-by-step explanation:

Combine like terms:

-4x - 9x = (-4 - 9)x = -13x

4x - (-9x) = 4x + 9x = (4 + 9)x = 13x

-4x + 9x = (-4 + 9)x = 5x

4x - 9x = (4 - 9)x = -5x

-4x - 9 x
Is the answer
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