Answer:
{(20 , 6)}
Step-by-step explanation:
[tex]\begin{cases}\frac{x}{5} +\frac{y}{3} =6&\\ x-2y=8&\end{cases}[/tex]
We multiply both sides of the first equation by 15
[tex]\begin{cases}3x+5y=6\times 15=90&\\ x=2y+8&\end{cases}[/tex]
Now we substitute x by 2y+8 in the first equation
[tex]\begin{cases}3\left( 2y+8\right) +5y=90&\\ x=2y+8&\end{cases}[/tex]
[tex]\begin{cases}6y+24 +5y=90&\\ x=2y+8&\end{cases}[/tex]
[tex]\begin{cases}11y=90-24=66&\\ x=2y+8&\end{cases}[/tex]
[tex]\begin{cases}y=\frac{66}{11} =6&\\ x=2y+8&\end{cases}[/tex]
[tex]\begin{cases}y=6&\\ x=2(6)+8=20&\end{cases}[/tex]
[tex]\begin{cases}y=6&\\ x=20&\end{cases}[/tex]
