https://file.aiquickdraw.com/mathbot/file/1725483256184pavqvjsu.jpg

The equation shown in the image is:

\[
-2 = -\frac{6}{5}b + 7
\]

Let's solve this equation for \( b \).

### Step 1: Move the constant term to the left side
Subtract 7 from both sides to isolate the term involving \( b \):

\[
-2 - 7 = -\frac{6}{5}b
\]

\[
-9 = -\frac{6}{5}b
\]

### Step 2: Eliminate the negative sign
Multiply both sides by -1 to get rid of the negative sign:

\[
9 = \frac{6}{5}b
\]

### Step 3: Solve for \( b \)
To solve for \( b \), multiply both sides by the reciprocal of \(\frac{6}{5}\):

\[
b = 9 \times \frac{5}{6}
\]

\[
b = \frac{45}{6}
\]

### Step 4: Simplify the fraction
Simplify \(\frac{45}{6}\) by dividing the numerator and the denominator by their greatest common divisor, which is 3:

\[
b = \frac{45 \div 3}{6 \div 3} = \frac{15}{2}
\]

So, the solution is:

\[
b = \frac{15}{2}
\]

Would you like further details or have any questions?

---

Here are some related questions you might find interesting:

1. What is the process to convert a mixed number to an improper fraction?
2. How do you solve equations with variables on both sides?
3. Can you solve the equation if the variable term is inside a fraction?
4. What happens if the coefficient of the variable is a decimal?
5. How can we check if the solution to the equation is correct?

**Tip:** When solving equations, always perform the same operation on both sides to maintain the equality.

Learn how to solve the linear equation -2 = -(6/5)b + 7. This detailed step-by-step solution covers key algebraic concepts, including manipulating fractions and isolating variables. Perfect 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