Question

Use substitution to solve each system of equations.
y = –6x– 19
6 x – 5 y = –13

Answer 1

Like you said, we will use substitution to solve the system to get rid of y.

`y = -6x - 19\\6x - 5y = -13\\\\6x - 5(-6x - 19) = -13\\\\6x + 30x + 95 = -13\\\\36x + 95 = -13\\\\36x = -108\\\\x = -3`

Next, we will use what we found for x and plug it into one of the original equations to solve for y. I will use the first equation.

`y = -6(-3) - 19\\\\y = 18 - 19\\\\y = -1`

Finally, we can now create the solution for this system.

`(-3, -1)`