Question

Which equation matches the solution set of {5}?(1 point)
Responses

x+x−9=1+x
x plus x minus 9 is equal to 1 plus x

3x/5+4=7
3 x over 5 plus 4 is equal to 7

x2+10=15
x squared plus 10 is equal to 15

2x−20=30

Answer 1

To determine which equation has the solution set of \{5\}, we can solve each equation for \( x \) and see which one yields \( x = 5 \).

1. **Equation**: \( x + x - 9 = 1 + x \)

Simplifying:
\( 2x - 9 = 1 + x \)
\( 2x - x = 1 + 9 \)
\( x = 10 \)

2. **Equation**: \( \frac{3x}{5} + 4 = 7 \)

Simplifying:
\( \frac{3x}{5} = 7 - 4 \)
\( \frac{3x}{5} = 3 \)
\( 3x = 15 \)
\( x = 5 \)

3. **Equation**: \( x^2 + 10 = 15 \)

Simplifying:
\( x^2 = 15 - 10 \)
\( x^2 = 5 \)
\( x = \sqrt{5} \) or \( x = -\sqrt{5} \) (not equal to 5)

4. **Equation**: \( 2x - 20 = 30 \)

Simplifying:
\( 2x = 30 + 20 \)
\( 2x = 50 \)
\( x = 25 \)

Based on solving each equation, the one that matches the solution set of \{5\} is:

**\( \frac{3x}{5} + 4 = 7 \)**.