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 − 78 = −32
x minus Start Fraction 7 over 8 End Fraction equals negative Start Fraction 3 over 2 End Fraction

x + 98 = 74
x plus Start Fraction 9 over 8 End Fraction equals Start Fraction 7 over 4 End Fraction

x + 0.875 = 1.5
x plus 0.875 equals 1.5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

To find which equation has a different value of \( x \) than the others, we need to solve each equation:

  1. Equation 1:
    \( x - 0.025 = 0.6 \)
    \( x = 0.6 + 0.025 \)
    \( x = 0.625 \)

  2. Equation 2:
    \( x - 78 = -32 \)
    \( x = -32 + 78 \)
    \( x = 46 \)

  3. Equation 3:
    \( x + 98 = 74 \)
    \( x = 74 - 98 \)
    \( x = -24 \)

  4. Equation 4:
    \( x + 0.875 = 1.5 \)
    \( x = 1.5 - 0.875 \)
    \( x = 0.625 \)

Now, let's summarize the values of \( x \):

  • From Equation 1: \( x = 0.625 \)
  • From Equation 2: \( x = 46 \)
  • From Equation 3: \( x = -24 \)
  • From Equation 4: \( x = 0.625 \)

The values are:

  • \( 0.625 \) (from Equation 1 and Equation 4)
  • \( 46 \) (from Equation 2)
  • \( -24 \) (from Equation 3)

Thus, the equation that has a different value of \( x \) than the others is Equation 2: \( x - 78 = -32 \) because it yields \( x = 46 \).