Question

Can someone please help me?

Answer 1

Hey there!

We can solve systems two ways - substitution and elimination. It seems in this case that elimination is going to be easier.

Let's begin by multiplying the top equation by 3, and the bottom equation by 4:

3(5x - 4y = -24)

15x - 12y = -72

4(4x + 3y = 18)

16x + 12y = 72

Next, we'll add the two equations together to get rid of, or eliminate, the y variable and solve for the x variable:

(15x - 12y = -72) + (16x + 12y = 72)

31x = 0

x = 0

Next, we'll plug the value of the x variable into the top equation and solve for the y variable:

5(0) - 4y = -24

-4y = -24

y = 6

Therefore, x = 0 and y = 6.

Hope this helps!! :)