Question

What is the solution of the equation 5/ 3 — 2X =1/6

Answer 1

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

First, let's subtract 5/3 from both sides of the equation to get rid of the fraction:

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

Simplifying the left side, we have:

-2x = 1/6 - 5/3

To combine the fractions on the right side, we need a common denominator. The least common multiple of 6 and 3 is 6. So, let's rewrite the fractions with a denominator of 6:

-2x = 1/6 - 10/6

Combining the fractions, we have:

-2x = (1 - 10)/6

Simplifying the numerator, we get:

-2x = -9/6

Now, let's simplify the fraction on the right side by reducing it to lowest terms:

-2x = -3/2

To solve for x, we need to isolate it. Let's divide both sides of the equation by -2:

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

Simplifying, we get:

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.