Question

Solve each equation using multiplication or division. Check your answer.
1.4t = -32
2. -25=-5x
3. -3.2k=16
4. 2.8r=16.8

Answer 1

Let's solve each equation using multiplication or division and then check the answers.

### 1. Solve \(4t = -32\)

To isolate \(t\), divide both sides by 4:
\[
t = \frac{-32}{4} = -8
\]

**Check:**
Substituting \(t = -8\) back into the original equation:
\[
4(-8) = -32 \quad \text{(True)}
\]

### 2. Solve \(-25 = -5x\)

To isolate \(x\), divide both sides by \(-5\):
\[
x = \frac{-25}{-5} = 5
\]

**Check:**
Substituting \(x = 5\) back into the original equation:
\[
-25 = -5(5) \rightarrow -25 = -25 \quad \text{(True)}
\]

### 3. Solve \(-3.2k = 16\)

To isolate \(k\), divide both sides by \(-3.2\):
\[
k = \frac{16}{-3.2} = -5
\]

**Check:**
Substituting \(k = -5\) back into the original equation:
\[
-3.2(-5) = 16 \quad \text{(True as } 16 = 16\text{)}
\]

### 4. Solve \(2.8r = 16.8\)

To isolate \(r\), divide both sides by \(2.8\):
\[
r = \frac{16.8}{2.8} = 6
\]

**Check:**
Substituting \(r = 6\) back into the original equation:
\[
2.8(6) = 16.8 \quad \text{(True)}
\]

### Summary of Solutions
1. \( t = -8 \)
2. \( x = 5 \)
3. \( k = -5 \)
4. \( r = 6 \)