Question

Use substitution to determine which of the following points is a solution to the standard form equation below. 5x-2y=10
a. (-1,5)
b. (1,5)
c. (0,-5)
d. (0,5)

Answer 1

Substitute the values (x,y) for x and y in the equation and check if they satisfy the equation.

 $(-1,5) \\ 5 \times (-1)-2 \times 5=10 \\ -5-10=10 \\ -15=10 \\ not \ true \\ \\ (1,5) \\ 5 \times 1-2 \times 5=10 \\ 5-10=10 \\ -5=10 \\ not \ true$

$(0,-5) \\ 5 \times 0 -2 \times (-5)=10 \\ 0+10=10 \\ 10=10 \\ true \\ \\ (0,5) \\ 5 \times 0 -2 \times 5=10 \\ 0-10=10 \\ -10=10 \\ not \ true$

The answer is C.