Question

4x-6y=-48

-2x+4y=30

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use the method of substitution or elimination.

Let's solve by substitution.

First, let's rearrange the first equation to solve for x:
4x - 6y = -48
4x = 6y - 48
x = (6y - 48) / 4
x = (3/2)y - 12

Now substitute this expression for x into the second equation:
-2((3/2)y - 12) + 4y = 30
-3y + 24 + 4y = 30
y + 24 = 30
y = 6

Now that we have found the value for y, we can substitute it back into one of the original equations to solve for x:
4x - 6(6) = -48
4x - 36 = -48
4x = -12
x = -3

Therefore, the solution to the system of equations is x = -3 and y = 6.