How do you solve for each of the variable 50=2s + 5p?

Jul 5, 2015

Answer:

Subtract $5 p$ from both sides then divide both sides by $2$ to get:

$s = 25 - \frac{5 p}{2}$

Subtract $2 s$ from both sides then divide both sides by $5$ to get:

$p = 10 - \frac{2 s}{5}$

Explanation:

Subtract $5 p$ from both sides to get:

$50 - 5 p = 2 s$

Then divide both sides by $2$ to get:

$\textcolor{red}{s = 25 - \frac{5 p}{2}}$

Starting again, subtract $2 s$ from both sides to get:

$50 - 2 s = 5 p$

Then divide both sides by $5$ to get:

$\textcolor{red}{p = 10 - \frac{2 s}{5}}$