Answer:
x = 7
y = 4
Explanation:
Since the base sides of isoceles triangle are equal on left side.
So,
y + 12 = 3x - 5
Isolate y
y = 3x - 5 - 12
y = 3x - 17 ...... [i]
Since the equilateral triangle in the right side has all side equal.
So,
3x - 5 = 5y - 4
Substitute value of y .
3x - 5 = 5( 3x - 17) - 4
Now, distribute the 5 on the right side:
3x - 5 = 15x - 85 - 4
3x - 5 = 15x - 89
Add 89 on both sides:
3x - 5 + 89 = 15x - 89 + 89
3x + 84 = 15x
Subtract 3x on both sides:
3x + 84 - 3x = 15x - 3x
84 = 12x
Divide both sides by 12.
7 = x
x = 7
Substitute the value of x in equation 1st:
y = 3 × 7 - 17
y = 21 - 17
y = 4
Therefore, the value of:
x = 7
y = 4