Questions: Solve: 13-(7/5) m=2. Write your answer as an integer, proper fraction, or mixed m=

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 $m=$
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Solution

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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:

  1. Subtract 13 from both sides of the equation.
  2. 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: \[ \boxed{m = \frac{55}{7}} \]

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