Identify the solution (s) of the system of equations, if any. - 4x-2y=16 2y=-4x-16

-4x - 2y = 16

2y = - 4x - 16

2 2

y = - 2x - 8

-4x - 2 (-2x - 8) = 16

-4x + 4x + 16 = 16

0x + 16 = 16

- 16 - 16

0x = 0

0 0

x = 0

2y = - 4x - 16

2y = - 4 (0) - 16

2y = 0 - 16

2y = - 16

2 2

y = - 8

(x, y) = (0, - 8)

-4x-2y = 16

2y = - 4x-16

Get one variable alone on both equations

-4x - 16 = 2y

-4x - 16 = 2y

You'll realize that they're the same equation.

Use substitution

-4x-16 = - 4x-16

0 = 0

x = all solutions

Use x = all solutions in an earlier equation to find y

-4x - 16 = 2y

SInce x can be all solutions y is also all solutions

y = all solutions