Solve the following for $$ \mathrm{y}: \frac{x}{5}+\frac{y}{8}=1 $$ $$ y=\square $$

Question

UpStudy AI · Accepted Answer

To solve the equation for $$ y $$:

$$
\frac{x}{5} + \frac{y}{8} = 1
$$

**Step 1:** Subtract $$\frac{x}{5}$$ from both sides to isolate $$\frac{y}{8}$$:

$$
\frac{y}{8} = 1 - \frac{x}{5}
$$

**Step 2:** Multiply both sides by 8 to solve for $$ y $$:

$$
y = 8 \left(1 - \frac{x}{5}\right)
$$

**Step 3:** Distribute the 8:

$$
y = 8 - \frac{8x}{5}
$$

**Final Answer:**

$$
y = 8 - \frac{8x}{5}
$$

Alternatively, you can combine the terms over a common denominator:

$$
y = \frac{40 - 8x}{5}
$$
$$ y = 8 - \frac{8x}{5} $$

Solve the following for \( \mathrm{y}: \frac{x}{5}+\frac{y}{8}=1 \) \( y=\square \)