Algebra Equation

Question

2x+3y=-3

3x-2y=28

solve

Answer 1

Multiply the first equation by 3 and the second by -2 to get:

6x + 9y = -9

-6x + 4y = -56

Adding the equations, we have 13y = -65

So, y = -5 and x = 6

Answer 2

Step 1:

3( 2x + 3y = -3)

-2( 3x - 2y = 28)

we now distribute to get: 6x +9y = -9

-6x + 4y = -56

Step 2:

we add them together and get 13y = -65

From there we get that y = -5

Step 3:

We now plug in the y-value to either equation to find our x-value.

2x + 3y = -3

2x + 3(-5) = -3

2x -15 =-3

2x = 12

x = 6

our solutions are x = 6 and y = -5