(vi) $$ 2 y-\frac{3}{5}=\frac{1}{2} $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
2y - \frac{3}{5} = \frac{1}{2}
$$

**Step 1: Isolate the term with $$ y $$**
 
Add $$\frac{3}{5}$$ to both sides of the equation to move the constant term to the right side:

$$
2y - \frac{3}{5} + \frac{3}{5} = \frac{1}{2} + \frac{3}{5}
$$

Simplifying both sides:

$$
2y = \frac{1}{2} + \frac{3}{5}
$$

**Step 2: Combine the fractions on the right side**

To add $$\frac{1}{2}$$ and $$\frac{3}{5}$$, find a common denominator. The least common denominator (LCD) of 2 and 5 is 10.

Convert each fraction:

$$
\frac{1}{2} = \frac{5}{10} \quad \text{and} \quad \frac{3}{5} = \frac{6}{10}
$$

Now add them:

$$
\frac{5}{10} + \frac{6}{10} = \frac{11}{10}
$$

So, the equation now is:

$$
2y = \frac{11}{10}
$$

**Step 3: Solve for $$ y $$**

Divide both sides by 2 to isolate $$ y $$:

$$
y = \frac{11}{10} \div 2 = \frac{11}{10} \times \frac{1}{2} = \frac{11}{20}
$$

**Answer:**

$$
y = \frac{11}{20}
$$
$$ y = \frac{11}{20} $$

(vi) \( 2 y-\frac{3}{5}=\frac{1}{2} \)