Math Problem Statement

4x+9=40

Solution

To solve the equation 4x+9=404x + 9 = 40, follow these steps:

  1. Subtract 9 from both sides to isolate the term with xx: 4x+99=4094x + 9 - 9 = 40 - 9 4x=314x = 31

  2. Divide both sides by 4 to solve for xx: x=314x = \frac{31}{4} x=7.75x = 7.75

Thus, the solution is x=7.75x = 7.75.

Would you like further clarification or details? Here are five related questions to explore:

  1. What if the equation was 5x+9=505x + 9 = 50?
  2. How do you solve 4x+9=04x + 9 = 0?
  3. What happens if 4x+9=404x + 9 = -40?
  4. Can you solve 4x+9=31+9x4x + 9 = 31 + 9x?
  5. How would you check if x=7.75x = 7.75 is correct?

Tip: Always remember to perform the same operation on both sides of the equation when solving for a variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

ax + b = c

Theorems

Basic linear equation solving

Suitable Grade Level

Grades 6-8