Question

Which of the following equations has a different value of x
than the others?(1 point)
Responses

x − 0.025 = 0.6
x minus 0.025 equals 0.6

x + 0.875 = 1.5
x plus 0.875 equals 1.5

x + 98 = 74
x plus Start Fraction 9 over 8 End Fraction equals Start Fraction 7 over 4 End Fraction

x − 78 = −32
x minus Start Fraction 7 over 8 End Fraction equals negative Start Fraction 3 over 2 End Fraction

Answer 1

To determine which equation has a different value of \( x \) than the others, let's solve each equation step by step:

1. **Equation 1**: \( x - 0.025 = 0.6 \)
\[
x = 0.6 + 0.025 = 0.625
\]

2. **Equation 2**: \( x + 0.875 = 1.5 \)
\[
x = 1.5 - 0.875 = 0.625
\]

3. **Equation 3**: \( x + 98 = 74 \)
\[
x = 74 - 98 = -24
\]

4. **Equation 4**: \( x - 78 = -32 \)
\[
x = -32 + 78 = 46
\]

Now we can summarize the values of \( x \) we found:
- Equation 1: \( x = 0.625 \)
- Equation 2: \( x = 0.625 \)
- Equation 3: \( x = -24 \)
- Equation 4: \( x = 46 \)

The values of \( x \) from the first two equations are the same (\( 0.625 \)), while the other two equations yield different values (\( -24 \) and \( 46 \)).

Thus, the equation that has a different value of \( x \) than the others is:

**Equation 3**: \( x + 98 = 74 \) (which gives \( x = -24 \)).