Question

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

Answer 1

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

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

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

The answer is C.