To clarify the systems of equations:
[tex]-12x - y = 6[/tex]
[tex]17x + y = 4[/tex]
We already have opposite coefficients for y, so combine the two equations together:
[tex]5x = 10[/tex]
Divide both sides by 5 to get x by itself:
[tex]x = 2[/tex]
Because we now know x, we can plug it into one of the equations.
We will plug this value into the first equation:
[tex]-12(2) - y = 6[/tex]
[tex]-24 - y = 6[/tex]
Add 24 to both sides.
[tex]-y = 30[/tex]
Divide both sides by -1 to get y by itself.
[tex]y = -30[/tex]
Using elimination, x = 2 and y = -30.
