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3 votes
What value of X makes this equation true?

3/4x - 1/3x + 5/6x = x + 3

Please help <3

User Sorean
by
7.3k points

2 Answers

1 vote
x is 12

Its kinda hard to explain but let me put it this way
If you can translate each of the fractions to have the same denomenator then it makes things a lot easier.

First you translate the equation into 9/12x - 4/12x + 10/12x = 12/12x + 3

Then subtract 12/12x from both sides to get

9/12x - 4/12x + 10/12x - 12/12x = 3

Subtract 9/12x -4/12x = 5/12x

Then add 5/12x to 10/12x = 15/12x

Then subtract 15/12x - 12/12x = 3/12x

So you should get 3/12x = 3

which is 1/4x = 3

Multiply both sides by 4 and you get

x = 12
User Nevan King
by
7.8k points
6 votes
x=12 Remember you must find x and y. To find y, use either one of the two original equations. Substitute the value of x into the equation and find the value of y. Using the first equation, y