Question

What are the values of x and y in the figure shown? show your work

Answer 1

x = 5 , y = 2

Explanation:

3y + 4y + 2x = 24

(3y)² + (4y)² = (2x)²

2x + 7y = 24 .............. (1)

25y² = 4x² ................ (2)

x =
`(5)/(2)` y ------> (1)

2 (
`(5)/(2)` y ) + 7y = 24

12y = 24

y = 2 ----------> (1)

x = 5