Math Problem Statement

6x+9=12

Solution

To solve the equation 6x+9=126x + 9 = 12, follow these steps:

  1. Subtract 9 from both sides to isolate the term with xx: 6x+99=1296x + 9 - 9 = 12 - 9 6x=36x = 3

  2. Divide both sides by 6 to solve for xx: x=36x = \frac{3}{6} x=12x = \frac{1}{2}

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

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions you might want to explore:

  1. What if the equation was 6x+9=06x + 9 = 0?
  2. How would you solve 6x+9=126x + 9 = -12?
  3. What happens if you multiply both sides of 6x+9=126x + 9 = 12 by 2?
  4. Can you graph the equation 6x+9=126x + 9 = 12 and its solution?
  5. How do you solve equations involving fractions, like 6x+92=126x + \frac{9}{2} = 12?

Tip: Always perform the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation formula: ax + b = c

Theorems

Equality Property of Equations
Division Property of Equality

Suitable Grade Level

Grades 6-8