Mathematics High School

Graham graphs the following system of equations to determine its solution.

2x + 4y = 12
2x - y = 2

What is the correct solution?

Enter your answer by filling in the boxes.

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ASAP plz

Answers

Answer 1

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

Answer 2

After solving the equation, the value of for the points x and y are (2, 2).

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

2x + 4y = 12   (i) and

2x - y = 2  (ii)

Solve the value for y,

5y = 10

y = 10/5

y = 2

Substitute y=2 in equation (i)

2x + 4(2) = 12

2x = 12 - 8

x = 4/2

x = 2

Therefore, the point is (2, 2).

To know more about Equation:

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