What is the solution of the equation 5/3−2x = 1/6 ?

Question

A.−11/3

B. 3/4

C. 3

D. −11/12

Answer 1

To solve the equation, 5/3 - 2x = 1/6, we first need to isolate the variable x.

Step 1: Subtract 5/3 from both sides of the equation.

5/3 - 5/3 - 2x = 1/6 - 5/3

-2x = 1/6 - 5/3

Step 2: Simplify the right side of the equation.

-2x = 1/6 - 10/6

-2x = (1 - 10) / 6

-2x = -9/6

Step 3: Simplify the right side of the equation.

-2x = -3/2

Step 4: Divide both sides of the equation by -2.

(-2x) / -2 = (-3/2) / -2

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4. The correct answer is (B) 3/4.