Question

PLS HELPPPPPP solve for x and y

Answer 1

We have similar triangles, so equal ratios

5:7:8 = 5+x : 7 + y : 10

Equal ratios mean the corresponding pairs are related by constant factor f,

$f = \dfrac{5+x}{5} = \dfrac{7+y}{7} = \dfrac{10}{8}$

So f= 10/8 = 5/4 and

5f = 5+x

x = 5(5/4) - 5 = 25/4  - 20/4= 5/4

7f = 7 + y

y = 7f - 7 = 7(f - 1) = 7(5/4 - 1) = 7/4

Answer: x=5/4, y=7/4

Check:

5/4 + 5  : 7/4 + 7 : 10 = 5+20 : 7+28 : 40  = 25:35:40 =5:7:8  good