Math Problem Statement

Solve for c in terms of a and b given the equation b/a = c/a.

Solution

The image asks to solve for cc in terms of aa and bb. The equation shown appears to be:

ba=ca\frac{b}{a} = \frac{c}{a}

To solve for cc in terms of aa and bb, we can cross-multiply to eliminate the denominators:

ba=cab \cdot a = c \cdot a

Now, divide both sides by aa:

c=bc = b

Thus, the solution is:

c=bc = b

Would you like further details or explanations? Here are some related questions:

  1. What are the properties of cross-multiplication?
  2. How does dividing by a common term simplify equations?
  3. Can you give an example where a similar technique is used in a real-world application?
  4. How would this equation change if additional terms were added to the numerator or denominator?
  5. What would happen if one of the terms was a variable function instead of a constant?

Tip: When solving equations with fractions, cross-multiplication is often a quick method to eliminate denominators and simplify the equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Solving Equations
Proportions

Formulas

Cross-multiplication
Linear equations

Theorems

Cross-multiplication

Suitable Grade Level

Grades 6-8