What is the solution of the system?

Use the substitution method.

{y+7=3x

{6x-2y=12

A) (14, 12)

B) (12, 14)

C) There is no solution.

D) There are an infinite number of solutions.

Y + 7 = 3x ... y = 3x - 7

so we sub in 3x - 7 for y in the other equation

6x - 2y = 12

6x - 2 (3x - 7) = 12

6x - 6x + 14 = 12

6x - 6x = 12 - 14

0 = - 2 (incorrect) ... no solution

Little tip:

if ur answer comes out with unequal amounts such as : 1 = 4, or 2 = 3, or 0 = - 2 ... then there will be no solutions.

if ur answer comes out with equal amounts such as : 2 = 2, 3 = 3,0 = 0 ... then there will be infinite solutions.

if ur answer comes out with a variable equaling something ... y = 4, x = 2, then there is 1 solution