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Question 182456: y=-2x-3
6x-8y=-20
Answer by MathGuyJoe(20)   (Show Source):
You can put this solution on YOUR website! You can solve this system using substitution. Since one of the equations is already solved for y:
y = -2x - 3
We can substitute it directly into the second equation:
6x - 8y = -20
Subsitute (-2x -3) for 'y':
6x - 8(-2x - 3) = -20
Distribute the -8 through (-2x - 3):
6x + 16x + 24 = -20
Simplify:
22x + 24 = -20
Subtract 24 from both sides:
22x + 24 (- 24) = -20 (- 24)
22x = -44
Divide both sides by 22:
22x (/ 22) = -44 (/ 22)
x = -2
Now that we know x = -2, we can substitute back into either equation above to find y:
y = -2x - 3
y = -2(-2) - 3
y = 4 - 3
y = 1
So our answers are x = -2 and y = 1.
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