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Question

Solve:
(1/y) - (2/3) = (1/4)

Answer 1

1/y - 2/3 = 1/4

1/y - 2/3 + 2/3 = 1/4 + 2/3

1/y = 1/4 + 2/3

12y(1/y) = 12y(1/4) + 12y(2/3)

12 = 3y + 8y

12y = 11y

12/11 = 11y/11

12/11 = y

Insert the y value into the equation

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Check

1y - 2/3 = 1/4

1/12/11 - 2/3 = 1/4

1/1 ÷ 12/11- 2/3 = 1/4

1/1 x 11/12 - 2/3 = 1/4

11/12 - 2/3 = 1/4

11/12 - 8/12 = 1/4

3/12 = 1/4

1/4 = 1/4
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Answer 2

To solve for y:

(1/y) - (2/3) = (1/4)

Add (2/3) to both sides:

(1/y) = (1/4) + (2/3)

Find a common denominator for the fractions:

(1/y) = (1/4)*(3/3) + (2/3)*(4/4)
(1/y) = (3/12) + (8/12)

Add:

(1/y) = (11/12)

Multiply both sides by y:

1 = (11/12)y

Multiply both sides by the inverse of (11/12):

12/11 = y

Answer 3

First, add 2/3 to both sides...

1/y = 1/4 + 2/3

Then find a common denominator...

1/y = 3/12 + 8/12

Then add...

1/y = 11/12

Then take the reciprocal of each side

y = 12/11


The answer is 12/11

Answer 4

1/y - 2/3 = 1/4

First, add 2/3 to both sides...

1/y = 1/4 + 2/3

Then find a common denominator...

1/y = 3/12 + 8/12

Then add...

1/y = 11/12

Then take the reciprocal of each side (raise each side to the -1 power)...

y = 12/11
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Check your work by plugging 12/11 in for y into the original equation:

1/(12/11) - 2/3

=11/12 - 2/3

= 11/12 - 8/12

= 3/12

= 1/4 All work is correct!

Answer 5

(1/y)-(2/3)=1/4
=> 12y*(1/y)-12y(2/3)=12y*1/4 [multiplying both sides by LCD 12y]
=>12-8y=3y
=> -8y-3y= -12
=> -11y= -12
=>y=12/11