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Using the same system of equations as above, what is the value of y? Use elimination to solve.A. 3B. -3C. 4D. -4

Using the same system of equations as above, what is the value of y? Use elimination-example-1
User Bernie Habermeier
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1 Answer

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In order to determine the value of y, proceed as follow:

Multiply the first equation of the system by -2:

(-2)(2x + 2y = 2)

-4x - 4y = -4

Next, sum the previous equation to the second equation of the system:

-4x- 4y = -4

6x + 4y = 12

2x = 8

Solve for x in the previous equation:

2x = 8

x = 8/2

x = 4

Now, replace the previous value of x into any of the equations of the system, for instance, into the first one, and solve for y:

2x + 2y = 2

2(4) + 2y = 2

8 + 2y = 2

2y = 2 - 8

2y = -6

y = -6/2

y = -3

Hence, the value of y is -3

User Jonke
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