Question

Solve each literal equation for the given variable.

y = x + 12; x
n = 4/5(m+7); m

Answer 1

Let's solve each equation for the specified variable.

1. **For the equation:**
\( y = x + 12 \)
We want to solve for \( x \).
To isolate \( x \), subtract 12 from both sides:
\[
x = y - 12
\]

2. **For the equation:**
\( n = \frac{4}{5}(m + 7) \)
We want to solve for \( m \).
First, multiply both sides by \( \frac{5}{4} \) to eliminate the fraction:
\[
\frac{5}{4}n = m + 7
\]
Next, subtract 7 from both sides:
\[
m = \frac{5}{4}n - 7
\]

Therefore, the solutions are:
- For \( y = x + 12 \): \( x = y - 12 \)
- For \( n = \frac{4}{5}(m + 7) \): \( m = \frac{5}{4}n - 7 \)