Answer: x=5 and y=4
Step-by-step explanation:
From the given picture, it can be seen that the coressponding sides of the triangles are equal such that [tex]7x-4=31\\\\\Rightarrow7x=35\\\\\Rightarrow x=\frac{35}{7}\\\\\Rightarrow x=5[/tex]
Also, [tex]4y+8=24\\\\\Rightarrow\ 4y=24-8\\\\\Rightarrow\ 4y=16\\\\\Rightarrow\ y=\frac{16}{4}\\\\\Rightarrow\ y=4[/tex]
Therefore, the value of x =5 and the value of y =4.
