Question

1. $5m - 2p = 24$

$3m + 2p = 24$

Explanation:

Step1: Add the two equations

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

Step2: Solve for $m$

$$m = \frac{48}{8} = 6$$

Step3: Substitute $m=6$ into second equation

$$3(6) + 2p = 24$$
$$18 + 2p = 24$$

Step4: Solve for $p$

$$2p = 24 - 18 = 6$$
$$p = \frac{6}{2} = 3$$

Answer:

$m=6$, $p=3$