Math Problem Statement

c-a=d+r, for a

Solution

To solve the equation ca=d+rc - a = d + r for aa, follow these steps:

  1. Start with the given equation: ca=d+rc - a = d + r

  2. Subtract cc from both sides to isolate the term involving aa: a=d+rc-a = d + r - c

  3. Multiply both sides by 1-1 to solve for aa: a=cdra = c - d - r

Thus, the solution for aa is: a=cdra = c - d - r

Would you like any further details or clarification?

Here are 5 related questions:

  1. How can you solve for cc in the equation ca=d+rc - a = d + r?
  2. What happens if you switch the positions of dd and rr in the equation?
  3. Can you solve ca=d+rc - a = d + r for rr instead of aa?
  4. How would the solution change if rr was squared in the original equation?
  5. What would the graph of this equation look like if plotted?

Tip: Always check your rearranged equation by plugging in values to ensure correctness.

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Math Problem Analysis

Mathematical Concepts

Algebra
Equation Solving
Variable Isolation

Formulas

Isolating a variable: c - a = d + r

Theorems

Additive Inverse Property
Multiplicative Inverse Property

Suitable Grade Level

Grades 6-8