Which of the following equations has a solution different from the rest? (1 point)

Question

Responses

−0.35x−0.52=1.93 
negative 0.35 x minus 0.52 equals 1.93

34x+5=−14
Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction

12x−3=12
Start Fraction 1 over 2 End Fraction x minus 3 equals Start Fraction 1 over 2 End Fraction

−17x−34=14

Answer 1

To find the equation that has a solution different from the rest, we can solve each equation and determine if any yields a unique solution.

1) −0.35x−0.52=1.93

Subtracting 0.52 from both sides:

−0.35x = 1.93 - 0.52
−0.35x = 1.41

Dividing both sides by -0.35:

x = 1.41 / -0.35
x = -4.03

2) 34x+5=−14

Subtracting 5 from both sides:

34x = -14 - 5
34x = -19

Dividing both sides by 34:

x = -19 / 34
x ≈ -0.56

3) Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction

Multiplying both sides by 4/3:

x + 5 = -1/4 * 4/3
x + 5 = -1/3

Subtracting 5 from both sides:

x = -1/3 - 5
x = -1/3 - 15/3
x = -16/3

4) 12x−3=12

Adding 3 to both sides:

12x = 12 + 3
12x = 15

Dividing both sides by 12:

x = 15 / 12
x = 5/4

By solving each equation, we find that:

Equation 1 has a solution of x = -4.03
Equation 2 has a solution of x ≈ -0.56
Equation 3 has a solution of x = -16/3
Equation 4 has a solution of x = 5/4

Therefore, the equation that has a solution different from the rest is Equation 1: −0.35x−0.52=1.93.