Question

Hill is solving an equation for x
. His second step is to divide both sides of the equation by 5. Which equation is he solving?(1 point)
Responses

7 + 5x = 22
7 plus 5 x equals 22

7 + x5 = 22
7 plus Start Fraction x over 5 End Fraction equals 22

7 − 5x = 22
7 minus 5 x equals 22

7 − x5 = 22

Answer 1

To determine which equation Hill is solving when his second step is to divide both sides by 5, we need to identify an equation where multiplying or having a coefficient of 5 in front of \( x \) would necessitate this step.

1. **For the equation \( 7 + 5x = 22 \):**
- First, you would subtract 7 from both sides to get \( 5x = 15 \). Then you would divide both sides by 5, which fits the scenario.

2. **For the equation \( 7 + \frac{x}{5} = 22 \):**
- First, you would subtract 7 from both sides to get \( \frac{x}{5} = 15 \). Then you would multiply both sides by 5 or divide both sides by \( \frac{1}{5} \) (which involves a different process), so this doesn't fit.

3. **For the equation \( 7 - 5x = 22 \):**
- First, you would subtract 7 from both sides to get \( -5x = 15 \). You would then divide by -5, not 5, so this doesn't fit.

4. **For the equation \( 7 - \frac{x}{5} = 22 \):**
- First, you would subtract 7 from both sides to get \( -\frac{x}{5} = 15 \). Then you would multiply by -5, so this also doesn't fit.

The only equation that leads to dividing by 5 in the second step is:
**\( 7 + 5x = 22 \)**.