What is x/2 - x/6 = 4?

Question

Hi, I'm in year 9 and I really don't know where to start with this algebra question! Please send help!

#x/2−x/6=4#

Abigail Allen · Accepted Answer

#x=12#

Because the denominators need to be the same number, so you multiply #x/2# by #3/3# and so it will equal

#(3x)/6-x/6=4#

Next, you deduct, and the result is equal to

#(2x)/6=4#

Then, you follow PEMDAS and multiply #6# on both sides to eliminate the divide by 6, so it would equal

#2x=24#

You divide by #2# on both sides and #x# will equal #12#.

Savannah Anderson · Answer

undefined To solve the equation $ \frac{x}{2} - \frac{x}{6} = 4 $, follow these steps:

1. Find a common denominator for $ \frac{x}{2} $ and $ \frac{x}{6} $, which is 6.
2. Rewrite the equation with the common denominator: $ \frac{3x}{6} - \frac{x}{6} = 4 $.
3. Combine the fractions: $ \frac{3x - x}{6} = 4 $.
4. Simplify the equation: $ \frac{2x}{6} = 4 $.
5. Multiply both sides by 6 to eliminate the denominator: $ 2x = 24 $.
6. Divide both sides by 2: $ x = 12 $.

So, the solution to the equation $ \frac{x}{2} - \frac{x}{6} = 4 $ is $ x = 12 $.

What is x/2 - x/6 = 4?

Hi, I'm in year 9 and I really don't know where to start with this algebra question! Please send help! #x/2−x/6=4#

Hi, I'm in year 9 and I really don't know where to start with this algebra question! Please send help!

#x/2−x/6=4#