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

Question

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:

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