Which of the following equations has a solution of -1/2

Answer 1

To find which of the following equations has a solution of -1/2, we need to substitute -1/2 for x in each equation and determine if the equation is true.

a) 2x + 1 = 0
Substituting -1/2 for x:
2(-1/2) + 1 = 0
-1 + 1 = 0
0 = 0
The equation is true when x = -1/2.

b) x - 2 = 3
Substituting -1/2 for x:
(-1/2) - 2 = 3
-1/2 - 2 = 3
-2 1/2 = 3
This equation is not true when x = -1/2.

c) 3x - 4 = -2
Substituting -1/2 for x:
3(-1/2) - 4 = -2
-3/2 - 4 = -2
-3 - 8 = -2
-11 = -2
This equation is not true when x = -1/2.

d) 4x + 2 = 0
Substituting -1/2 for x:
4(-1/2) + 2 = 0
-2 + 2 = 0
0 = 0
The equation is true when x = -1/2.

The equations that have a solution of -1/2 are a) 2x + 1 = 0 and d) 4x + 2 = 0.