Home > Algebra > Clearing Denominators in Rational Equations

How do you solve # x/3 - x/6 = 2#?

Answer 1

Eli Assouline

#x=12#

#rarrx/3-x/6=2#

#rarrx[1/3-1/6]=2#

#rarrx*1/6=2#

#rarrx=12#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

To solve the equation x/3 - x/6 = 2, you can follow these steps:

Find a common denominator for the fractions, which in this case is 6.
Multiply both sides of the equation by 6 to eliminate the denominators.
Simplify the equation by distributing and combining like terms.
Solve for x by isolating it on one side of the equation.
Check your solution by substituting it back into the original equation.

The solution to the equation x/3 - x/6 = 2 is x = 12.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.