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

A. X+9/8=7/4
B x+0.875 =1.5
C x-7/8= -3/2
D x-0.025 = 0.6

1 answer

Let's solve each equation for \( x \) and see which one has a different value.

A. \( x + \frac{9}{8} = \frac{7}{4} \)

To isolate \( x \): \[ x = \frac{7}{4} - \frac{9}{8} \]

Convert \(\frac{7}{4}\) to eighths: \[ \frac{7}{4} = \frac{14}{8} \]

So: \[ x = \frac{14}{8} - \frac{9}{8} = \frac{5}{8} \]

B. \( x + 0.875 = 1.5 \)

To isolate \( x \): \[ x = 1.5 - 0.875 \] \[ x = 0.625 \]

C. \( x - \frac{7}{8} = -\frac{3}{2} \)

To isolate \( x \): \[ x = -\frac{3}{2} + \frac{7}{8} \]

Convert \(-\frac{3}{2}\) to eighths: \[ -\frac{3}{2} = -\frac{12}{8} \]

So: \[ x = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} \]

D. \( x - 0.025 = 0.6 \)

To isolate \( x \): \[ x = 0.6 + 0.025 \] \[ x = 0.625 \]

Now, summarizing the results:

  • \( A: x = \frac{5}{8} \)
  • \( B: x = 0.625 \)
  • \( C: x = -\frac{5}{8} \)
  • \( D: x = 0.625 \)

From this, we see that:

  • Equations B and D yield the same value of \( x = 0.625 \).
  • Equation A gives \( \frac{5}{8} \), which is equivalent to 0.625.
  • Equation C gives \( x = -\frac{5}{8} \), which is \(-0.625\).

Thus, the equation with a different value of \( x \) is: C: x - \frac{7}{8} = -\frac{3}{2}.