https://file.aiquickdraw.com/mathbot/file/172672203506264pn96q5.jpg

The image contains the equation \( a = \frac{b}{c} \), and it asks to solve for the variables \( b \) and \( c \).

### 1. Solving for \( b \):
Given:
\[
a = \frac{b}{c}
\]
To solve for \( b \), multiply both sides of the equation by \( c \) to isolate \( b \):
\[
b = a \cdot c
\]

### 2. Solving for \( c \):
Now, to solve for \( c \), we need to rearrange the equation to isolate \( c \). Starting with the same equation:
\[
a = \frac{b}{c}
\]
Multiply both sides by \( c \) and divide by \( a \):
\[
c = \frac{b}{a}
\]

These give you the solutions for both \( b \) and \( c \) in terms of the other variables.

Let me know if you'd like further clarification on any of these steps! Here are some related questions you might explore:

1. If \( a = 2 \) and \( b = 6 \), what is the value of \( c \)?
2. How would you solve the equation \( a = \frac{b}{c+1} \)?
3. If \( a = \frac{b}{c} + d \), how do you solve for \( b \)?
4. Can you solve \( a = \frac{b}{c} \) if you know that \( a = 3 \) and \( c = 9 \)?
5. How would you apply this equation in a physics problem?

**Tip:** When solving equations with fractions, it's often easiest to multiply through by the denominator first to eliminate the fraction!

Solve for the variable b and c in the equation a = b/c.

Learn how to solve for the variables b and c in the equation a = b/c. This algebra problem teaches basic equation manipulation, covering key concepts like isolating variables. Suitable for students in Grades 6-8.

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