Question

Solve for r: q = p(r + s)

Answer 1

Step-by-step explanation: To solve for r, start by distributing the p

through the parentheses on the left side to get q = pr + ps.

Next, isolate the r term by subtracting ps from both sides to get -ps + q = pr.

Finally, to get r by itself, divide both sides by p and we have -ps + q/p = r.

Answer 2

`r=(q-ps)/(p)`

General Formulas and Concepts:

• Order of Operations: BPEMDAS
• Equality Properties
• Distributive Property

Explanation:

Step 1: Define equation

`q=p(r+s)`

Step 2: Solve for r

1. Distribute p:
   `q=pr+ps`
2. Subtract ps on both sides:
   `q-ps=pr`
3. Divide both sides by p:
   `(q-ps)/(p) =r`
4. Rewrite:
   `r=(q-ps)/(p)`