Question

Need help ASAP! Due today

Answer 1

{(20 , 6)}

Explanation:

`\begin{cases}(x)/(5) +(y)/(3) =6&\\ x-2y=8&\end{cases}`

We multiply both sides of the first equation by 15

`\begin{cases}3x+5y=6* 15=90&\\ x=2y+8&\end{cases}`

Now we substitute x by 2y+8 in the first equation

`\begin{cases}3\left( 2y+8\right) +5y=90&\\ x=2y+8&\end{cases}`

`\begin{cases}6y+24 +5y=90&\\ x=2y+8&\end{cases}`

`\begin{cases}11y=90-24=66&\\ x=2y+8&\end{cases}`

`\begin{cases}y=(66)/(11) =6&\\ x=2y+8&\end{cases}`

`\begin{cases}y=6&\\ x=2(6)+8=20&\end{cases}`

`\begin{cases}y=6&\\ x=20&\end{cases}`