Question

Which of the following ordered pairs is a solution to the equation 2x+7y=8?

A. (3,-2)
B. (2,-3)
C. (-3,2)
D. (0,4)

Answer 1

Plug the values (x,y) into the equation and check if they satisfy the equation.


`(3,-2) \\ 2 * 3 + 7 * (-2)=8 \\ 6-14=8 \\ -8=8 \\ not \ true \\ \\ (2,-3) \\ 2 * 2+7 * (-3)=8 \\ 4-21=8 \\ -17=8 \\ not \ true`


`(-3,2) \\ 2 * (-3)+7 * 2=8 \\ -6+14=8 \\ 8=8 \\ true \\ \\ (0,4) \\ 2 * 0+7 * 4=8 \\ 0+28=8 \\ 28=8 \\ not \ true`

The answer is C.