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Which of the following equations has a different value of x

than the others?(1 point)
Responses

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

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

x − 0.025 = 0.6
x minus 0.025 equals 0.6

x + 0.875 = 1.5

1 answer

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

  1. Equation: \( x - \frac{7}{8} = -\frac{3}{2} \)

    Add \( \frac{7}{8} \) to both sides:

    \[ x = -\frac{3}{2} + \frac{7}{8} \]

    To add these, convert \( -\frac{3}{2} \) to eighths:

    \[ -\frac{3}{2} = -\frac{12}{8} \] \[ x = -\frac{12}{8} + \frac{7}{8} = -\frac{5}{8} \]

  2. Equation: \( x + \frac{9}{8} = \frac{7}{4} \)

    Subtract \( \frac{9}{8} \) from both sides:

    \[ x = \frac{7}{4} - \frac{9}{8} \]

    Convert \( \frac{7}{4} \) to eighths:

    \[ \frac{7}{4} = \frac{14}{8} \] \[ x = \frac{14}{8} - \frac{9}{8} = \frac{5}{8} \]

  3. Equation: \( x - 0.025 = 0.6 \)

    Add \( 0.025 \) to both sides:

    \[ x = 0.6 + 0.025 = 0.625 \]

  4. Equation: \( x + 0.875 = 1.5 \)

    Subtract \( 0.875 \) from both sides:

    \[ x = 1.5 - 0.875 = 0.625 \]

Now, we summarize our results:

  • From the first equation: \( x = -\frac{5}{8} \)
  • From the second equation: \( x = \frac{5}{8} \)
  • From the third equation: \( x = 0.625 \)
  • From the fourth equation: \( x = 0.625 \)

The only value that is different is from the first equation: \( x = -\frac{5}{8} \).

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

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