How do you solve 1/3 - x/7 = 14/54?

2 Answers
smendyka
Sep 18, 2017

See a solution process below:

Explanation:

First, subtract color(red)(1/3) from each side of the equation to isolate the x term while keeping the equation balanced:

1/3 - color(red)(1/3) - x/7 = 14/54 - color(red)(1/3)

0 - x/7 = 14/54 - (18/18 xx color(red)(1/3))

-x/7 = 14/54 - 18/54

-x/7 = (14 - 18)/54

-x/7 = -4/54

-x/7 = -2/27

Now, multiply each side of the equation by color(red)(-7) to solve for x while keeping the equation balanced:

color(red)(-7) xx x/-7 = color(red)(-7) xx -2/27

cancel(color(red)(-7)) xx x/color(red)(cancel(color(black)(-7))) = 14/27

x = 14/27

Samyak S.
Sep 18, 2017

This is how we do it .

Explanation:

1/3-x/7=14/54

Take -x/7 in the right so it will become +x/7 . And take 14/54on the left and it will become -14/54.
:. 1/3-14/54=x/7

Then first solve 1/3-14/54 so , to solve you need to make the denominator same this is done by taking the LCM of 3and 54. That is 54 .

:. 1xxcolor(red)18/3xxcolor(red)18 - 14xxcolor(red)1/54xxcolor(red)1
:. 18/54-14/54 =x/7
:. 4/54=x/7
:. 4/54xx7=x

Related questions
Impact of this question
1646 views around the world
You can reuse this answer
Creative Commons License