Math Problem Statement

13 - 4x = 11

Solution

To solve the equation 134x=1113 - 4x = 11, follow these steps:

  1. Subtract 13 from both sides to isolate the term with xx: 134x13=111313 - 4x - 13 = 11 - 13 4x=2-4x = -2

  2. Divide both sides by -4 to solve for xx: x=24=12x = \frac{-2}{-4} = \frac{1}{2}

So, the solution is x=12x = \frac{1}{2}.

Would you like more details on this, or do you have any questions?

Here are five related questions to consider:

  1. How would you solve 53x=25 - 3x = 2?
  2. What happens if the coefficient of xx was positive, such as in 13+4x=1113 + 4x = 11?
  3. Can you solve 2x7=52x - 7 = 5?
  4. How would you graph the equation y=134xy = 13 - 4x?
  5. What is the solution for 6x+9=3x26x + 9 = 3x - 2?

Tip: Always isolate the variable term first when solving linear equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation in the form ax + b = c

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 6-8