Question

Find the solution of the system of equations.

9x+6y=
9x+6y=
\,\,6
6
-x-3y=
−x−3y=
\,\,11
11

Answer 1

To solve this system for y, we will use elimination by multiplying the second equation by 9.

`9x + 6y = 6\\9(-x - 3y = 11)\\\\9x + 6y = 6\\-9x - 27y = 99\\\\-21y = 105\\\\y = -5`

Now we will plug in what we got for y into one of the original equations to solve for x.

`-x - 3(-5) = 11\\\\-x + 15 = 11\\\\-x = -4\\\\x = 4`

The solution for this system is (4, -5).