Use elimination to solve the system of equations. 5m–2p=245𝑚–2𝑝=24 3m+2p=243𝑚+2𝑝=24

The system of equations is:

5m - 2p = 24 3m + 2p = 24

To solve this system using elimination, we add the two equations together. The terms -2p and +2p will cancel each other out:

(5m - 2p) + (3m + 2p) = 24 + 24 8m = 48

Now, we can solve for m by dividing both sides of the equation by 8:

8m / 8 = 48 / 8 m = 6

Now that we have m, we can substitute it into the first equation to solve for p:

5m - 2p = 24 5(6) - 2p = 24 30 - 2p = 24 -2p = 24 - 30 -2p = -6

Finally, we solve for p by dividing both sides of the equation by -2:

-2p / -2 = -6 / -2 p = 3

So, the solution to the system of equations is m = 6 and p = 3.