https://file.aiquickdraw.com/mathbot/file/1724331388602xsqmwh2p.jpg

https://file.aiquickdraw.com/mathbot/file/1724331388605i5ejnje0.jpg

The equation from the image is:

\[
2y - \frac{3}{5} = \frac{1}{2}
\]

Let's solve for \( y \).

### Step 1: Add \(\frac{3}{5}\) to both sides of the equation
\[
2y = \frac{1}{2} + \frac{3}{5}
\]

### Step 2: Find a common denominator to add the fractions
The least common denominator (LCD) of 2 and 5 is 10.

\[
\frac{1}{2} = \frac{5}{10}, \quad \frac{3}{5} = \frac{6}{10}
\]

\[
2y = \frac{5}{10} + \frac{6}{10} = \frac{11}{10}
\]

### Step 3: Divide both sides by 2 to solve for \( y \)
\[
y = \frac{\frac{11}{10}}{2} = \frac{11}{10} \times \frac{1}{2} = \frac{11}{20}
\]

So, the solution is:
\[
y = \frac{11}{20}
\]

Would you like further details, or do you have any other questions?

Here are five related questions you might consider:
1. How do you find the least common denominator for adding fractions?
2. What are the steps to isolate a variable in an equation?
3. How do you multiply and divide fractions?
4. Can this equation be solved using a different method, like cross-multiplication?
5. How can you verify the solution to this equation?

**Tip:** Always check your final answer

Learn how to solve the equation 2y - 3/5 = 1/2 step-by-step with detailed explanations. This problem covers adding fractions with different denominators and isolating variables in equations. Suitable 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