Math Problem Statement

8=3a-4

Solution

To solve the equation 8=3a48 = 3a - 4:

  1. Add 4 to both sides to isolate the term with aa: 8+4=3a4+48 + 4 = 3a - 4 + 4 12=3a12 = 3a

  2. Divide both sides by 3 to solve for aa: 123=3a3\frac{12}{3} = \frac{3a}{3} a=4a = 4

So, the solution is a=4a = 4.

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

Here are 5 related questions to further your understanding:

  1. What happens if you subtract 4 instead of adding 4 at the beginning?
  2. How would the solution change if the equation was 8=3a+48 = 3a + 4?
  3. Can you solve 8=4a68 = 4a - 6?
  4. What are the steps to check if your solution is correct?
  5. How would you approach solving 3a4=2a+33a - 4 = 2a + 3?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation formula ax + b = c

Theorems

Basic principles of solving linear equations

Suitable Grade Level

Grades 6-8