Which equation has exactly ONE solution?
Responses
A 3+10x2 = 4x + 2
B 15x−53 = 5x + 4
C 2 + 6 x 2 = 3x + 1
D 4x−102 = 2x − 5
To determine which equation has exactly one solution, we need to find the equation where both sides are equal at a single value of x.
A) 3 + 10 * 2 = 4 * 2 + 2
23 = 10
The equation is not true.
B) 15 * x – 53 = 5 * x + 4
10 * x = 57
x = 5.7
The equation has one solution.
C) 2 + 6 * 2 = 3 * 2 + 1
14 = 7
The equation is not true.
D) 4 * x – 102 = 2 * x – 5
2 * x = 97
x = 48.5
The equation has one solution.
Therefore, the equations that have exactly one solution are B) 15x − 53 = 5x + 4 and D) 4x − 102 = 2x – 5.