Let's solve each equation for the specified variable.
-
For the equation:
\( y = x + 12 \)
We want to solve for \( x \).
To isolate \( x \), subtract 12 from both sides:
\[ x = y - 12 \] -
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 \( n = \frac{4}{5}(m + 7) \): \( m = \frac{5}{4}n - 7 \)