Questions: Solve: 13-(7/5) m=2. Write your answer as an integer, proper fraction, or mixed m=
Transcript text: Solve: $13-\frac{7}{5} m=2$. Write your answer as an integer, proper fraction, or mixed $m=$
Solution
Solution Steps
To solve the equation \(13 - \frac{7}{5}m = 2\), we need to isolate the variable \(m\). Here are the high-level steps:
Subtract 13 from both sides of the equation.
Multiply both sides by \(-\frac{5}{7}\) to solve for \(m\).
Step 1: Rearranging the Equation
We start with the equation:
\[
13 - \frac{7}{5}m = 2
\]
To isolate \(m\), we first subtract 13 from both sides:
\[
-\frac{7}{5}m = 2 - 13
\]
This simplifies to:
\[
-\frac{7}{5}m = -11
\]
Step 2: Solving for \(m\)
Next, we multiply both sides by \(-\frac{5}{7}\) to solve for \(m\):
\[
m = -11 \cdot \left(-\frac{5}{7}\right)
\]
This simplifies to:
\[
m = \frac{55}{7}
\]
Final Answer
Thus, the solution for \(m\) is:
\[
\boxed{m = \frac{55}{7}}
\]