Given
[tex]\begin{gathered} -3y=x-5 \\ x+5y=7 \end{gathered}[/tex]Solution
I will solve your system by substitution.
[tex]\begin{gathered} −3y=x−5;x+5y=7 \\ Step:Solve−3y=x−5\text{ }for\text{ }x: \\ −3y+−x=x−5+−x\left(Add-x\text{ }to\text{ }both\text{ }sides\right) \\ −x−3y=−5 \\ \end{gathered}[/tex][tex][/tex]The final answer
[tex]x=2\text{ }and\text{ }y=1[/tex]