Answer:
[tex]x=-2\\y=2[/tex]
Step-by-step explanation:
[tex]-2x+6y=6\\-7x+8y=-5[/tex]
Let's multiply the first equation by 7 and the second equation by -2
[tex](7)(-2x+6y=6)\\(-2)(-7x+8y=-5)[/tex]
[tex]-14x+42y=42\\14x-16y=10[/tex]
Now add them together. In this step, x is eliminated.
[tex]26y=52[/tex]
Divide by 26.
[tex]y=\frac{52}{26}\\ y=2[/tex]
Now plug this into any of the two equations to find x.
[tex]-2x+6y=6\\-2x+6(2)=6\\-2x+12=16\\-2x=16-12\\-2x=4\\x=\frac{4}{-2}\\ x=-2[/tex]
