Question

Substitution algebra

Answer 1

Answer:

We will use substitution to solve the system. Step 1 is partially complete.

$y = -2x - 9\\6x - 5y = -19\\\\6x - 5(-2x - 9) = -19\\\\6x + 10x + 45 = -19\\\\16x + 45 = -19\\\\16x = -64\\\\x = -4$

We will now use what we got for x to solve for y in one of the original equations.

$6(-4) - 5y = -19\\\\-24 - 5y = -19\\\\-5y = 5\\\\y = -1$

The solution is (-4, -1).