Answer:
[tex]x=\frac{32}{3}, y=\frac{2}{3}[/tex]
Step-by-step explanation:
We can multiply the second equation by 2 to eliminate.
[tex]2(y-x)=2(-10) \\ \\ 2y-2x=-20[/tex]
Let's eliminate.
[tex]2x-5y=18 \\ -2x+2y=-20 \\ -3y=-2 \\ y=\frac{2}{3}[/tex]
Now we can substitute back into the equation to find the value of [tex]x[/tex].
[tex]\frac{2}{3}-x=-10 \\ \\ \frac{2}{3}-x=-\frac{30}{3} \\ \\ -x=-\frac{32}{3} \\ \\ x=\frac{32}{3}[/tex]
