Which of the following equations has a different value of x

Question

𝑥
than the others?(1 point)
Responses

x + 98 = 74
𝑥

+

9
8

=

7
4
x plus Start Fraction 9 over 8 End Fraction equals Start Fraction 7 over 4 End Fraction

x − 78 = −32
𝑥

−

7
8

=

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

x + 0.875 = 1.5
𝑥

+

0.875

=

1.5
x plus 0.875 equals 1.5

x − 0.025 = 0.6,.....

Answer 1

Let's solve each equation for \( x \).

1. First equation: \[ x + 98 = 74 \] Subtracting \( 98 \) from both sides: \[ x = 74 - 98 = -24 \]

2. Second equation: \[ x - 78 = -32 \] Adding \( 78 \) to both sides: \[ x = -32 + 78 = 46 \]

3. Third equation: \[ x + 0.875 = 1.5
   \] Subtracting \( 0.875 \) from both sides: \[ x = 1.5 - 0.875 = 0.625 \]

4. Fourth equation: \[ x - 0.025 = 0.6 \] Adding \( 0.025 \) to both sides: \[ x = 0.6 + 0.025 = 0.625 \]

Now let's summarize the results:

• From the first equation, \( x = -24 \)
• From the second equation, \( x = 46 \)
• From the third equation, \( x = 0.625 \)
• From the fourth equation, \( x = 0.625 \)

The only equation that has a different value of \( x \) is the first equation, which yields \( x = -24 \).