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.