The solution to a system of equations is (6-3). choose two equations that might make up the system. y= -3x+6 y=2x-9 y=-5x+27 y=2x-15 y=-4x+27

 C) y = -5x + 27     and       D) y = 2x - 15

Step-by-step explanation:

Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.

A) y = -3x + 6

  -3 = -3(6) + 6

  -3 = -18 + 6

  -3 = -12     FALSE

B) y = 2x - 9

  -3 = 2(6) - 9

   -3 = 12 - 9

   -3 = 3     FALSE

C) y = -5x + 27

  -3 = -5(6) + 27

  -3 = -30 + 27

  -3 = -3    TRUE!

D) y = 2x - 15

  -3 = 2(6) - 15

  -3 = 12 - 15

  -3 = -3    TRUE!

E) y = -4x + 27

  -3 = -4(6) + 27

  -3 = -24 + 27

  -3 = 3   FALSE