Question

Use elimination to find the solution to the system of equations.

4x+y=8
3x-2y=6

A. x=6, y=6
B. x=2, y=0
C. x=-3, y=20
D. x=6, y=-16

Answer 1

Answer: To use the elimination method to solve the system of equations, we'll try to eliminate one of the variables by adding or subtracting the equations.

We have:

4x+y=8

3x-2y=6

multiplying the first equation by -2:

-8x-2y=-16

and adding it to the second equation:

3x-2y+(-8x-2y)=6+(-16)

-5x = -10

x = 2

substituting x=2 in the first equation:

4(2)+y = 8

8+y = 8

y = 0

So the solution is x=2 and y=0, that corresponds to the option B.