Math Problem Statement

1/2(n+4)=6

Solution

To solve the equation 12(n+4)=6\frac{1}{2}(n + 4) = 6, follow these steps:

Step 1: Eliminate the fraction

Multiply both sides of the equation by 2 to get rid of the fraction: 2×12(n+4)=2×62 \times \frac{1}{2}(n + 4) = 2 \times 6 This simplifies to: n+4=12n + 4 = 12

Step 2: Solve for nn

Now subtract 4 from both sides to isolate nn: n=124n = 12 - 4 n=8n = 8

So, the solution is n=8n = 8.

Would you like further details on solving equations like this, or do you have any questions?

Related Questions:

  1. How do you solve equations involving fractions?
  2. How do you check if your solution to an equation is correct?
  3. What happens if you have a different fraction in the equation, like 34\frac{3}{4}?
  4. How do you solve equations with variables on both sides?
  5. How do you solve inequalities with fractions?

Tip:

Always simplify an equation step by step and check your solution by substituting it back into the original equation.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Equation of the form ax + b = c

Theorems

Properties of equality

Suitable Grade Level

Grades 6-8