Question

Solve the system by elimination find the ordered pair that is the solution

8x+y=-16
-3x+y=-5

Answer 1

x = 1

y = -24

Explanation:

8x + y = -16

-3x + y = -5

Subtract equation one from equation two

8x - -3x + y - y = -16 - - 5

8x + 3x = -16 + 5

11x = 11

Divide both sides by 11

11x/11 = 11/11

x = 1

Now substitute 1 for x in either of the equations to get y.

Using equation one, we have

8x + y = -16

8 x 1 + y = -16

8 + y = -16

Subtract 8 from both sides

8 - 8 + y = -16 - 8

y = -24

x = 1

y = -24