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Colt1911 [192]
3 years ago
8

Find the values of x and y.

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

We have the isosceles triangle were y + 12 = 3x - 5,

and the equilateral triangle. Therefore 3x - 5 = 5y - 4.

From the first equation and the second equation we have:

y + 12 = 5y - 4      <em>subtract 12 from both sides</em>

y = 5y - 16        <em>subtract 5y from both sides</em>

-4y = -16      <em>divide both sides by (-4)</em>

<h3>y = 4</h3>

Substitute the value of y to the first equation:

4 + 12 = 3x - 5

16 = 3x - 5         <em>add 5 to both sides</em>

21 = 3x       <em>divide both sides by 3</em>

<h3>x = 7</h3>
<h3>Answer: x = 7 and y = 4</h3>
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