need help with this math problem

Question

Solve using your choice of graphing, substitution, or elimination

4x-3y=-19

3x-2y=24

Answer 1

Using elimination:

4x - 3y = -19

3x - 2y = 24

To solve for x, we need to eliminate the y's. To do so, we must multiply the top equation by two and the bottom by three, such that:

8x - 6y = -38

9x - 6y = 72

To eliminate, we can subtract the two equations, such that:

(8x - 9x) + (-6y - (-6y)) = -38 - 72

--> -x = -110

--> x = 110

Plugging x back into one of our original equations, we see:

3(110) - 2y = 24

--> 330 - 2y = 24

--> -2y = -306

--> y = 153

Checking the answer, we plug both into the first equation, such that:

4(110) - 3(153) = -19

--> 440 - 459 = -19

--> -19 = -19

So! x = 110 and y = 153

Answer 2

Using the substitution method: In 3x-2y=24, solve for x. Here x = 2/3y+8. Stick that answer into the first equation 4x-3y=-19. So solve: 4(2/3y+8)-3y=-19

Y=153. Now that you know y, stick that answer in for y in either equation. Easy!

4x-3(153)=-19. Do you see how I stuck it into the 1st equation?😁 We get x=110.

So x=110 and y=153