Study the steps used to solve the equation.

Given: StartFraction c Over 2 EndFraction minus 5 equals 7

Let's study the steps to solve the equation given:

**Equation:**
\[
\frac{c}{2} - 5 = 7
\]

### Step 1: Isolate the term with the variable
First, we want to isolate the term that contains the variable \( c \). To do this, we'll add 5 to both sides of the equation.

\[
\frac{c}{2} - 5 + 5 = 7 + 5
\]

Simplifying this:

\[
\frac{c}{2} = 12
\]

### Step 2: Eliminate the fraction
To solve for \( c \), we need to eliminate the fraction. Since \( c \) is divided by 2, we can multiply both sides of the equation by 2.

\[
2 \times \frac{c}{2} = 12 \times 2
\]

Simplifying this:

\[
c = 24
\]

### Step 3: Final Answer
The solution to the equation is \( c = 24 \).

---

Would you like more details on any of these steps, or do you have any questions?

Here are some related questions:

1. How would you solve an equation where the variable is multiplied by a fraction?
2. What happens if the equation is \(\frac{c}{2} - 5 = -7\)?
3. How do you check if the solution \(c = 24\) is correct?
4. Can this method be used to solve inequalities as well?
5. How would the steps change if the equation was \(\frac{c}{3} - 5 = 7\)?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Explore the steps to solve the equation c/2 - 5 = 7 with detailed explanations and examples. This problem involves algebraic concepts like equations and fractions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation