Ask a New Question
Menu

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

1 answer

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.