Which of the following equations has a different value of x

Question

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

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

Answer 1

To determine which equation has a different value of \( x \) than the others, let's solve each equation step by step:

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

2. Equation 2: \( x + 0.875 = 1.5 \) \[ x = 1.5 - 0.875 = 0.625 \]

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

4. Equation 4: \( x - 78 = -32 \) \[ x = -32 + 78 = 46 \]

Now we can summarize the values of \( x \) we found:

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

The values of \( x \) from the first two equations are the same (\( 0.625 \)), while the other two equations yield different values (\( -24 \) and \( 46 \)).

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

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