Math Problem Statement

7 = g 2

  • 4

Solution

The equation you provided is:

7=g2+47 = \frac{g}{2} + 4

To solve for gg, follow these steps:

Step 1: Subtract 4 from both sides.

74=g27 - 4 = \frac{g}{2} 3=g23 = \frac{g}{2}

Step 2: Multiply both sides by 2 to isolate gg.

3×2=g3 \times 2 = g g=6g = 6

So, the value of gg is 6.

Would you like further explanation or any additional details?

Here are some related questions to explore:

  1. How do you solve linear equations with fractions?
  2. What is the general method to isolate variables in an equation?
  3. Can we apply the same steps for equations with more than one fraction?
  4. How do you solve equations involving multiplication and division?
  5. What happens if the equation includes negative values?

Tip: Always perform the same operation on both sides of the equation to keep it balanced.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Solving for a Variable
Basic Algebra

Formulas

Isolating a variable by performing inverse operations

Theorems

Balancing equations theorem (maintaining equality)

Suitable Grade Level

Grades 6-8