In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3x - 9 ===> A
x + 13 ===> C
5y ====> B
Step 02:
We must apply the properties of triangles.
x + 13 = 5y eq.1
3x - 9 = x + 13 eq.2
eq .2
3x - 9 = x + 13
3x + x = 13 + 9
4x = 22
x = 22/4 = 11 / 2
eq. 1
x + 13 = 5 y
[tex]\begin{gathered} \frac{11}{2}+13=5y \\ \frac{11+26}{2}=5y \end{gathered}[/tex][tex]\begin{gathered} \frac{37}{2\cdot5}=y \\ \frac{37}{10}=y \end{gathered}[/tex]The answer is:
x = 11 / 2
y = 37 / 10
