Math Problem Statement

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

Solution

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

1. Solving for bb:

Given: a=bca = \frac{b}{c} To solve for bb, multiply both sides of the equation by cc to isolate bb: b=acb = a \cdot c

2. Solving for cc:

Now, to solve for cc, we need to rearrange the equation to isolate cc. Starting with the same equation: a=bca = \frac{b}{c} Multiply both sides by cc and divide by aa: c=bac = \frac{b}{a}

These give you the solutions for both bb and cc 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=2a = 2 and b=6b = 6, what is the value of cc?
  2. How would you solve the equation a=bc+1a = \frac{b}{c+1}?
  3. If a=bc+da = \frac{b}{c} + d, how do you solve for bb?
  4. Can you solve a=bca = \frac{b}{c} if you know that a=3a = 3 and c=9c = 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!

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Math Problem Analysis

Mathematical Concepts

Algebra
Solving for Variables
Equations

Formulas

a = b/c
b = a * c
c = b/a

Theorems

Basic algebraic manipulation

Suitable Grade Level

Grades 6-8