Question

Which of following equations has a different value of x than others

X+0.875=1.5
X+9/8=7/4
X-0.025=0.6
X-7/8=-3/2

Answer 1

What’s the answer

Answer 2

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

1. **Equation 1**: \( x + 0.875 = 1.5 \)
\[
x = 1.5 - 0.875 = 0.625
\]

2. **Equation 2**: \( x + \frac{9}{8} = \frac{7}{4} \)
\[
\frac{7}{4} = \frac{14}{8} \quad \text{(common denominator)}
\]
\[
x = \frac{7}{4} - \frac{9}{8} = \frac{14}{8} - \frac{9}{8} = \frac{5}{8} = 0.625
\]

3. **Equation 3**: \( x - 0.025 = 0.6 \)
\[
x = 0.6 + 0.025 = 0.625
\]

4. **Equation 4**: \( x - \frac{7}{8} = -\frac{3}{2} \)
\[
-\frac{3}{2} = -\frac{6}{4} = -\frac{12}{8} \quad \text{(common denominator)}
\]
\[
x = -\frac{6}{4} + \frac{7}{8} = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} = -0.625
\]

Now summarizing the results:

1. \( x = 0.625 \) from Equation 1
2. \( x = 0.625 \) from Equation 2
3. \( x = 0.625 \) from Equation 3
4. \( x = -0.625 \) from Equation 4

The equation with a different value of \( x \) is therefore **Equation 4**, which gives \( x = -0.625 \).

Answer 3

The equation that has a different value of \( x \) from the others is:

- **Equation 4**: \( x - \frac{7}{8} = -\frac{3}{2} \)

This results in \( x = -0.625 \), while the other equations all result in \( x = 0.625 \).