Question

Is x=3, y=2 a solution to the system of equations shown? Justify your answer.

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

Answer 1

Y=2(3)-4=2
3(3)+2(2)=8=12

Answer 2

It is not a solution.

Explanation:

y = 2x - 4

2 = 2(3) - 4

2 = 6 - 4

2 = 2

The point is a solution to the first equation.

3x + 2y = 8

3(3) + 2(2) = 8

9 + 4 = 8

11 ≠ 8

The point is only a solution for one equation. It is not a solution to the system.

Hope this helps.