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

Answer:

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

Step-by-step 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