Question

What is the solution of the system? use elimination . -12x-y=6 17x+y=4

Answer 1

To clarify the systems of equations:

$-12x - y = 6$
$17x + y = 4$

We already have opposite coefficients for y, so combine the two equations together:

$5x = 10$

Divide both sides by 5 to get x by itself:

$x = 2$

Because we now know x, we can plug it into one of the equations.

We will plug this value into the first equation:

$-12(2) - y = 6$

$-24 - y = 6$

Add 24 to both sides.

$-y = 30$

Divide both sides by -1 to get y by itself.

$y = -30$

Using elimination, x = 2 and y = -30.