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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

3 answers

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 \( x = -0.625 \).

What’s the answer

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 \( x = 0.625 \).