Question

Solve each equation using multiplication or division. Check your answer.
1. m/7 = 4
2. 25 = z/-4

Answer 1

Let's solve each equation step by step.

### Equation 1:
\[
\frac{m}{7} = 4
\]

To solve for \( m \), multiply both sides of the equation by 7:

\[
m = 4 \times 7
\]

Calculating that gives:

\[
m = 28
\]

**Check the answer:**
Substituting \( m = 28 \) back into the original equation:

\[
\frac{28}{7} = 4
\]

Since \( 4 = 4 \) is true, our solution is verified.

### Equation 2:
\[
25 = \frac{z}{-4}
\]

To solve for \( z \), multiply both sides of the equation by -4:

\[
z = 25 \times -4
\]

Calculating that gives:

\[
z = -100
\]

**Check the answer:**
Substituting \( z = -100 \) back into the original equation:

\[
25 = \frac{-100}{-4}
\]

Calculating the right side:

\[
\frac{-100}{-4} = 25
\]

Since \( 25 = 25 \) is true, our solution is verified.

### Final Answers:
1. \( m = 28 \)
2. \( z = -100 \)