To solve the equation \(-\frac{3}{4}x - 10 = 5\), follow these steps:

### Step 1: Isolate the term with \(x\)
Add 10 to both sides of the equation to move the constant term to the right side:
\[
-\frac{3}{4}x - 10 + 10 = 5 + 10
\]
\[
-\frac{3}{4}x = 15
\]

### Step 2: Solve for \(x\)
To isolate \(x\), multiply both sides of the equation by the reciprocal of \(-\frac{3}{4}\), which is \(-\frac{4}{3}\):
\[
x = 15 \times -\frac{4}{3}
\]
\[
x = -20
\]

So, the solution is \(x = -20\).

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How would the solution change if the equation was \(-\frac{3}{4}x - 10 = 0\)?
2. What is the reciprocal of \(-\frac{3}{4}\) and why is it used in solving this equation?
3. How would you solve the equation \(\frac{3}{4}x - 10 = 5\)?
4. Can you graph the equation and identify the solution on the graph?
5. How do you check if the solution \(x = -20\) is correct?

**Tip:** When dealing with fractions in equations, multiplying by the reciprocal is a powerful method to isolate the variable.

Learn how to solve the equation -3/4x - 10 = 5 with a detailed step-by-step solution. This problem covers solving linear equations with fractions, including isolating variables and multiplying by reciprocals. 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