Question

1. Which of the following is the value of x in the solution to the system of equations given below?

8 + 2x =5y
4x - y = 2

A)1
B)2
C)3
D)4

Answer 1

Multiply the second equation with " -5 " and add the two equations.
In this way you can eliminate y and solve for x

Answer 2

Do what @bhaskarbabu wrote above, but first, subtract 2 and add y to both sides of the second equation, so you have the two equations properly lined up.

Answer 3

No just multiply the entire second equation with " -5"

Answer 4

8 + 2x =5y ---> 8 + 2x = 5y
4x - y = 2 ---> -2 + 4x = y

Now that the like terms are lined up properly, multiply the second equation by -5 and add them together.

8 + 2x = 5y ---> 8 + 2x = 5y
-2 + 4x = y ---> 10 - 20x = -5y
--------------
18 - 18x = 0

Now solve for x.