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

Answer 1

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

Answer 2

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 \((x,y)\).