Which of the following equations has a solution different from the rest?
a. 3/4x + 5 = -1/4
b. -0.35x -0.52 = 1.93
c. 1/2x - 3 = 1/2
d. -1/7x - 3/4 = 1/4
To determine which equation has a solution different from the rest, we can solve each equation for the variable x and see if the solutions differ.
a. 3/4x + 5 = -1/4
Multiplying both sides by 4 gives 3x + 20 = -1
Subtracting 20 from both sides gives 3x = -21
Dividing both sides by 3 gives x = -21/3 = -7
b. -0.35x -0.52 = 1.93
Adding 0.52 to both sides gives -0.35x = 2.45
Dividing both sides by -0.35 gives x = 2.45/(-0.35) ≈ -7
c. 1/2x - 3 = 1/2
Adding 3 to both sides gives 1/2x = 2.5
Multiplying both sides by 2 gives x = 2.5*2 = 5
d. -1/7x - 3/4 = 1/4
Adding 3/4 to both sides gives -1/7x = 1/4 + 3/4 = 4/4 = 1
Multiplying both sides by -7 gives x = -1*(-7) = 7
Therefore, the equation c. 1/2x - 3 = 1/2 has a solution different from the rest.