Question

Find the values of x and y. Show your work.

Answer 1

7x-4=31
7x=31+4
7x=35
x=35/7=5

4y+8=24
4y=24-8
4y=16
y=16/4=4

Hence, x=5;y=4

Answer 2

Answer: x=5 and y=4

Explanation:

From the given picture, it can be seen that the coressponding sides of the triangles are equal such that
`7x-4=31\\\\\Rightarrow7x=35\\\\\Rightarrow x=(35)/(7)\\\\\Rightarrow x=5`

Also,
`4y+8=24\\\\\Rightarrow\ 4y=24-8\\\\\Rightarrow\ 4y=16\\\\\Rightarrow\ y=(16)/(4)\\\\\Rightarrow\ y=4`

Therefore, the value of x =5 and the value of y =4.