For which system of equations is (–2, 2) the solution?
A.
3x – 5y = –16
–2x + 3y = 10
B.
–4x + 2y = 6
2x – 3y = 10
C.
4x + 3y = 2
5x + 4y = –2
D.
6x + 5y = –2
–8x + 5y = –6

Question

For which system of equations is (–2, 2) the solution?
A.
3x – 5y = –16
–2x + 3y = 10
B.
–4x + 2y = 6
2x – 3y = 10
C.
4x + 3y = 2
5x + 4y = –2
D.
6x + 5y = –2
–8x + 5y = –6

whpalmer4 · Answer

It's the solution for the system of equations where both equations are true if $x=-2$ and $ y=2$.

whpalmer4 · Answer

For example, I'll test answer choice D:

$$6x+5y=-2$$$$-8x+5y=-6$$
$$6(-2)+5(2) = -2$$$$-12+10=-2$$So far so good, but we have to test both equations to be sure.
$$-8(-2)+5(2) = -6$$$$16+10=-6$$Oops.  D is not the correct answer, because one of the equations is not true when $(-2,2)$ is substituted for $(x,y)$.