Solve the system Solve the system of equations of equations

{y = 2x+7 y = 25-x

A (19, 6)

B (6, 19)

C (-6, - 19)

D (19, - 6)

E none of these

B

since both equations express y in terms of x we can equate the right sides

2x + 7 = 25 - x (add x to both sides)

3x + 7 = 25 (subtract 7 from both sides)

3x = 18 (divide both sides by 3)

x = 6

substitute x = 6 into either of the 2 equations for y

y = 2x + 7 = (2 * 6) + 7 = 12 + 7 = 19

solution is (6, 19)