Which of the following equations has a different value of x than the others?
Options:
x + 0.875 = 1.5
x - 0.025 = 0.6
x - 7/8 = -3/2
x + 9/8 = 7/4
To find the value of x for each equation, we'll solve them one by one:
1) x + 0.875 = 1.5:
Subtract 0.875 from both sides: x = 1.5 - 0.875 = 0.625.
2) x - 0.025 = 0.6:
Add 0.025 to both sides: x = 0.6 + 0.025 = 0.625.
3) x - 7/8 = -3/2:
Add 7/8 to both sides: x = -3/2 + 7/8.
To add fractions, we need to find a common denominator, which in this case is 8:
-3/2 = -12/8.
Now, we can rewrite the equation:
x = -12/8 + 7/8 = -5/8.
4) x + 9/8 = 7/4:
Subtract 9/8 from both sides: x = 7/4 - 9/8.
To subtract fractions, we need to find a common denominator again:
7/4 = 14/8.
Now, we can rewrite the equation:
x = 14/8 - 9/8 = 5/8.
Comparing the values of x for each equation:
For equation 1: x = 0.625.
For equation 2: x = 0.625.
For equation 3: x = -5/8.
For equation 4: x = 5/8.
Therefore, the equation that has a different value of x is x - 7/8 = -3/2, because its solution is x = -5/8 instead of x = 0.625 like the other equations. Answer: x - 7/8 = -3/2.