SOLUTION: An equilateral triangle has the sides 5X-3, 6X-1, and 3X+2Y. Find the vaules of X and Y.

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Question 106370: An equilateral triangle has the sides 5X-3, 6X-1, and 3X+2Y. Find the vaules of X and Y.
Answer by HyperBrain(694) About Me  (Show Source):
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Since it is equilateral, it must have equal sides. Furthermore, the dies are 5X-3, 6X-1, and 3X+2Y. Thus,
5x-3=6x-1
5x-3%2B3=6x-1%2B3
5x%2B0=6x%2B2
5x=6x%2B2
6x%2B2=5x
6x-5x%2B2=5x-5x
x%2B2=0
x=0-2
x=-2

But, 3x%2B3y is also a side. Thus,
3x%2B2y=6x-1
3%28-2%29%2B2y=6%28-2%29-1
-6%2B2y=-12-1
-6%2B6%2B2y=-12-1%2B6
0%2B2y=%28-12-1%29%2B6
2y=-13%2B6
2y=-7
y=-7%2F2

Therfore, x=-2 and y=-7%2F2

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HyperBrain!