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 + 9/8 = 7/4


x − 7/8 = −3/2

Answer 1

Let's solve each equation for \( x \):

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

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

3. **Equation 3:**
\( x + \frac{9}{8} = \frac{7}{4} \)
Convert \( \frac{7}{4} \) to eighths:
\( \frac{7}{4} = \frac{14}{8} \)
Now,
\( x + \frac{9}{8} = \frac{14}{8} \)
\( x = \frac{14}{8} - \frac{9}{8} \)
\( x = \frac{5}{8} \)

4. **Equation 4:**
\( x - \frac{7}{8} = -\frac{3}{2} \)
Convert \( -\frac{3}{2} \) to eighths:
\( -\frac{3}{2} = -\frac{12}{8} \)
Now,
\( x - \frac{7}{8} = -\frac{12}{8} \)
\( x = -\frac{12}{8} + \frac{7}{8} \)
\( x = -\frac{5}{8} \)

Now we have the values of \( x \) for each equation:

1. \( x = 0.625 \) (from equation 1)
2. \( x = 0.625 \) (from equation 2)
3. \( x = \frac{5}{8} \approx 0.625 \) (from equation 3)
4. \( x = -\frac{5}{8} \approx -0.625 \) (from equation 4)

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

**x − 7/8 = −3/2**.