Question

The solution to a system of linear equations is (-3, -3) Which system of linear equations has this point as its solution?

A. x-5y = -12 and 3x+2y = -15
B. x-5y = -12 and 3x+2y = 15
C. x-5y = 12 and 3x+2y = -15
D. x-5y = 12 and 3x+2y = 15

Answer 1

C. x-5y = 12 and 3x+2y = -15

Explanation:

We need to substitute the solution into the equations

A. x-5y = -12 and 3x+2y = -15

-3 -5(-3) = -12

-3 +15 = -12

False

B. x-5y = -12 and 3x+2y = 15

-3 -5(-3) = -12

-3 +15 = -12

False

C. x-5y = 12 and 3x+2y = -15

-3 -5(3) = 12 3(-3) +2(-3) = -15

-3 -15 = 12 -9 -6 = -15

True True

D. x-5y = 12 and 3x+2y = 15

-3 -5(3) = 12 3(-3) +2(-3) = 15

-3 -15 = 12 -9 -6 = 15

True False