Answer:
[tex]x=6[/tex]
Step-by-step explanation:
We begin with the two equations
[tex]-6x-6y=-78\\\\y=-5x+37[/tex]
First, let us manipulate the first equation so it is in the same form as the second. Once that is done, we can substitute in the first equation for y and then solve for x.
[tex]-6x-6y=-78\\\\6y=-6x+78\\\\y=-x+13[/tex]
Now we can substitute in this equation for the y in the second equation and then solve for x.
[tex]-x+13=-5x+37\\\\4x=24\\\\x=6[/tex]
