Question

1. what is the first step in solving the equation $\frac{a}{b}=c$ for $a$?

a. add $b$ to both sides
b. divide both sides by $c$
c. subtract $c$ from both sides
d. multiply both sides by $b$

Explanation:

Step1: Identify goal: isolate $a$

The variable $a$ is divided by $b$, so we need to reverse this operation.

Step2: Match operation to reverse division

To cancel out division by $b$, multiply both sides by $b$:
$$\frac{a}{b} \times b = c \times b$$
This simplifies to $a = bc$, isolating $a$.

Answer:

d. Multiply both sides by $b$