Question

Solve 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:

-2x = 1/6 - 5/3

Next, let's find a common denominator for the fractions on the right side. The least common multiple of 3 and 6 is 6.

Rewriting the fractions with the common denominator:

-2x = 1/6 - 10/6

Now we can subtract the fractions:

-2x = -9/6

To simplify the fraction on the right side of the equation, we can reduce it by dividing both the numerator and denominator by their greatest common divisor, which is 3.

-2x = -3/2

Finally, let's solve for x by dividing both sides of the equation by -2:

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

Simplifying:

x = 3/4

So the solution to the equation is x = 3/4.