To solve the equation \(-\frac{j}{12} = -8\) for \(j\), follow these steps:

1. Multiply both sides of the equation by \(-1\) to eliminate the negative signs:
   \[
   \frac{j}{12} = 8
   \]

2. Multiply both sides by 12 to isolate \(j\):
   \[
   j = 8 \times 12
   \]

3. Calculate:
   \[
   j = 96
   \]

Thus, \(j = 96\).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. What would the equation look like if the coefficient of \(j\) were a different number, like \(-\frac{j}{15} = -8\)?
2. How do you solve equations when the variable is in the numerator?
3. What happens if the right-hand side were positive, such as \(-\frac{j}{12} = 8\)?
4. How do you check if the solution to an equation is correct?
5. How does dividing by a negative number affect an equation?

**Tip:** Always double-check your solution by substituting it back into the original equation!

Learn how to solve the linear equation j/12 = -8 with a step-by-step guide. This problem involves key algebraic concepts such as solving equations with fractions and using the properties of equality. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation