Question 85505: How do I solve algebraically? y=5x+6 and 2x-5y=16. I cannot figure this one out.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How do I solve algebraically? y=5x+6 and 2x-5y=16.
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You need to assume the "y" in the two equations mean the same number.
Then you substitute the value of y (y=5x+6) into the other equation
so you can solve for "x".
You get: 2x-5(5x+6)=16
2x-25x-30=16
-23x = 46
x=-2
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Then you substitute that value of x into "y=5x+6" so you can solve
for "y".
y=5*-2+6
y=-10+6
y=-4
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So the solution is x=-2, y=-4
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Cheers,
Stan H.
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