Question

Solve the system of equations2x +y =53x-5y=15

Answer 1

`((40)/(13),-(15)/(13))`

Explanation:

We have the following system of equations

`\begin{gathered} 2x+y=5 \\ 3x-5y=15 \end{gathered}`

solving the system by substitution

`\begin{gathered} 2x+y=5\rightarrow y=5-2x \\ 3x-5\cdot(5-2x)=15 \\ 3x-25+10x=15 \\ 13x=15+25 \\ x=(40)/(13) \end{gathered}`

replacing x in y

`y=5-2\cdot(40)/(13)=-(15)/(13)`

The solution is:

`((40)/(13),-(15)/(13))`