Identify the solution(s) of the system of equations, if any. -4x-2y=16 2y=-4x-16
2 answers:
-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
-4x - 2y = 16
<u>2y</u> = <u>-4x - 16</u>
2 2
y = -2x - 8
-4x -2(-2x - 8) = 16
-4x + 4x + 16 = 16
0x + 16 = 16
<u> - 16 - 16</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
2y = -4x - 16
2y = -4(0) - 16
2y = 0 - 16
<u>2y</u> = <u>-16</u>
2 2
y = -8
(x, y) = (0, -8)
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