Question

Find the values of x and y.

Answer 1

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      subtract 12 from both sides

y = 5y - 16        subtract 5y from both sides

-4y = -16      divide both sides by (-4)

y = 4

Substitute the value of y to the first equation:

4 + 12 = 3x - 5

16 = 3x - 5         add 5 to both sides

21 = 3x       divide both sides by 3

x = 7

Answer: x = 7 and y = 4