Answer:
[tex]y=-\frac{22}{5}[/tex]
Step-by-step explanation:
[tex]-3+7y=5x+2y\\x=-5[/tex]
Replace:
[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]
Subtract -2y
[tex]-3+7y-2y=-25[/tex]
Add 3
[tex]7y-2y=-25+3[/tex]
Combine like terms;
[tex]5y=-22[/tex]
Divide by 5.
[tex]y=-\frac{22}{5}[/tex]
Proof
[tex]For x=-5, y=-\frac{22}{5}[/tex]
[tex]-3+7y=5x+2y[/tex]
[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]
[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]
To make it easier to solve, add 154/5
[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]
Now add 25
[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]
Combine like terms;
[tex]22=\frac{110}{5} \\22=22[/tex]
