Math Problem Statement

Write what is in the right part of the equation ax + b = c and solve for x.

Solution

In the image, the equation being solved is ax+b=cax + b = c. The steps show solving for xx.

Here are the steps outlined:

  1. Start with the equation: ax+b=cax + b = c

  2. Subtract bb from both sides: ax+bb=cbax + b - b = c - b Simplifies to: ax=cbax = c - b

  3. Divide both sides by aa (since a0a \neq 0): x=cbax = \frac{c - b}{a}

So, the final result is: x=cbax = \frac{c - b}{a}

Would you like a detailed explanation of any step? Here are 5 relative questions:

  1. What happens if a=0a = 0 in the equation ax+b=cax + b = c?
  2. How can this method be applied to more complex equations?
  3. What is the meaning of isolating xx in an equation?
  4. Can you solve this same equation using a graph?
  5. What happens to the solution if b=0b = 0?

Tip: Always check that division by a variable does not involve zero, as it leads to undefined results.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for x

Formulas

ax + b = c

Theorems

Basic Algebraic Manipulation

Suitable Grade Level

Grades 7-9