Question

Find the values of x and y

Answer 1

Check the picture below.

`13y=20x+3y\implies 10y=20x\implies y=\cfrac{20x}{10}\implies y=2x \\\\[-0.35em] ~\dotfill\\\\ 13y+(8x+y)=180\implies 14y+8x=180\implies \stackrel{\textit{substituting}}{14(\underset{y}{2x})+8x=180} \\\\\\ 28x+8x=180\implies 36x=180\implies x=\cfrac{180}{36}\implies \boxed{x=5}~\hfill \boxed{\stackrel{y = 2(5)}{y = 10}}`