Question

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

2x−20=30
2 x minus 20 equals 30

x+x−9=1+x
x plus x minus 9 equals 1 plus x

3x5+4=7
Start Fraction 3 x over 5 End Fraction plus 4 equals 7

x2−10=15
x squared minus 10 equals 15

Answer 1

To find which equation has the solution set of {5}, we will solve each equation for \( x \) and see if \( x = 5 \) is the solution.

1. **Equation:** \( 2x - 20 = 30 \)
\[
2x = 30 + 20
\]
\[
2x = 50
\]
\[
x = 25
\]

2. **Equation:** \( x + x - 9 = 1 + x \)
\[
2x - 9 = 1 + x
\]
\[
2x - x = 1 + 9
\]
\[
x = 10
\]

3. **Equation:** \( \frac{3x}{5} + 4 = 7 \)
\[
\frac{3x}{5} = 7 - 4
\]
\[
\frac{3x}{5} = 3
\]
\[
3x = 3 \times 5
\]
\[
3x = 15
\]
\[
x = 5
\]

4. **Equation:** \( x^2 - 10 = 15 \)
\[
x^2 = 15 + 10
\]
\[
x^2 = 25
\]
\[
x = 5 \text{ or } x = -5
\]

The equation that matches the solution set of {5} is:

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