Answer:
[tex](-4, -1)[/tex]
Step-by-step explanation:
[tex]6x-y=-23[/tex]
Add y to both sides:
[tex]6x-y+y=-23+y\\6x=-23+y[/tex]
Divide both sides by 6:
[tex]\frac{6x}{6}=-\frac{23}{6}+\frac{y}{6}\\x=\frac{-23+y}{6}[/tex]
Substitute this into the second equation given:
[tex]2*\frac{-23+y}{6}+5y=-13[/tex]
[tex]\frac{-23+16y}{3}=-13[/tex]
Multiply both sides by 3:
[tex]-23+16y=-39[/tex]
Add 23 to both sides:
[tex]-23+16y+23=-39+23\\16y=-16[/tex]
Divide both sides by 16:
[tex]\frac{16y}{16}=\frac{-16}{16}\\y=-1[/tex]
We know that [tex]x=\frac{-23+y}{6}[/tex].
Thus, [tex]x=\frac{-23-1}{6}[/tex]
[tex]x=-4[/tex]
[tex](x, y) = (-4, -1)[/tex]
