Question

Which ordered pair is a solution of the equation 4x-2y=16?

A. (-5,-3)
B. ( -5,3)
C. (6,-4)
D. (6,4)

Answer 1

Substitute the coordinates of points to the equation.

`4x-2y=16`

`A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}`