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>
