Question

Which equation has the solution x, equals, 5x=5?
Answer
Multiple Choice Answers
2, x, minus, 8, equals, minus, 22x−8=−2
7, x, minus, 4, equals, 1017x−4=101
5, x, minus, 7, equals, 125x−7=12
9, x, plus, 2, equals, 479x+2=47

Answer 1

To determine which equation has the solution \( x = 5 \), we'll substitute \( x = 5 \) into each equation and see if the left-hand side equals the right-hand side.

1. **Equation: \( 2x - 8 = -2 \)**

Substitute \( x = 5 \):
\[
2(5) - 8 = 10 - 8 = 2 \quad (\text{Left side}) \neq -2 \quad (\text{Right side})
\]

2. **Equation: \( 7x - 4 = 101 \)**

Substitute \( x = 5 \):
\[
7(5) - 4 = 35 - 4 = 31 \quad (\text{Left side}) \neq 101 \quad (\text{Right side})
\]

3. **Equation: \( 5x - 7 = 12 \)**

Substitute \( x = 5 \):
\[
5(5) - 7 = 25 - 7 = 18 \quad (\text{Left side}) \neq 12 \quad (\text{Right side})
\]

4. **Equation: \( 9x + 2 = 47 \)**

Substitute \( x = 5 \):
\[
9(5) + 2 = 45 + 2 = 47 \quad (\text{Left side}) = 47 \quad (\text{Right side})
\]

From the calculations above, the correct answer is:

**\( 9x + 2 = 47 \)**