Question

How do I solve this equation to get the solution? y= -2x - 1 -3x + 6y = 24

Answer 1

There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property. 

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)