Use elimination to solve the system. 2x +5y =24 4x +3y =20

x=2, y=4

Step-by-step explanation:

In order to use elimination, we need to make one of the 2 variables x and y equal to each other in both equations. To do that, we need to multiply an equation. I'm going to eliminate x.

So, to do this, I multiply the first equation by 2-

2(2x+5y) = 2(24)

4x+10y= 48.

Now, I subtract both equations.

 4x+10y= 48

- 4x+3y= 20

7y= 28

y=4.

Now substitute y=4 into an equation. I'm gonna take the first one.

2x + 5y= 24

2x + 5(4)= 24

2x+20=24

2x=4

x=2.

Hope this helps!