https://file.aiquickdraw.com/mathbot/file/1726615949708ibxufd3o.jpg

The equation from the image is:

\[
\frac{1}{5} + y = -\frac{3}{10}
\]

Let's solve for \( y \):

1. Subtract \(\frac{1}{5}\) from both sides to isolate \( y \):
\[
y = -\frac{3}{10} - \frac{1}{5}
\]

2. We need a common denominator to combine the fractions. The least common denominator of 10 and 5 is 10. So, rewrite \(\frac{1}{5}\) as \(\frac{2}{10}\):
\[
y = -\frac{3}{10} - \frac{2}{10}
\]

3. Now combine the fractions:
\[
y = -\frac{3 + 2}{10} = -\frac{5}{10}
\]

4. Simplify the fraction:
\[
y = -\frac{1}{2}
\]

Thus, the solution is \( y = -\frac{1}{2} \).

Would you like more details on this solution or further clarifications? 

Here are 5 related questions:
1. How can we solve for \( y \) if the equation had other fractions?
2. How can we check if the solution for \( y \) is correct?
3. What happens if the fractions have different signs?
4. How can we add or subtract fractions with different denominators?
5. Can we solve this equation graphically?

**Tip:** Always simplify fractions at the end of your calculations to get the simplest form.

Learn how to solve the equation 1/5 + y = -3/10 with a step-by-step breakdown. This problem involves fraction addition, finding a common denominator, and simplifying the solution. Ideal for students in Grades 7-9 learning basic algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation