SOLUTION: Have to determine the values of x and y based on the following equations. xy=56 y-x=1

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Question 349381: Have to determine the values of x and y based on the following equations.
xy=56
y-x=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.xy=56
2.y-x=1
From eq. 1,
y=56/x
Substitute into eq. 2,
56%2Fx-x=1
56-x%5E2=x
x%5E2%2Bx-56=0
%28x%2B8%29%28x-7%29=0
Two solutions:
x%2B8=0
x=-8
y=56%2F%28-8%29
y=-7
(-8,-7)
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x-7=0
x=7
y=56%2F7
y=8
(7,8)
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Graphical verification of the solutions:
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