Advertisements
Advertisements
Question
Solve the following:
`x/2 - 1/4(x - 1/3) = 1/6(x + 1) + 1/12`
Advertisements
Solution
From the given equation
`x/2 - 1/4(x - 1/3) = 1/6(x + 1) + 1/12`
⇒ `x/2 - x/4 + 1/12 = x/6 + 1/6 + 1/12`
⇒ `(2x - x)/4 + 1/12 = x/6 + (2 + 1)/12`
⇒ `x/4 + 1/12 = x/6 + 3/12`
⇒ `x/4 - x/6 = 3/12 - 1/12`
⇒ `(6x - 4x)/24 = (3 - 1)/12`
⇒ `(2x)/24 = 2/12`
⇒ 24x = 48
⇒ x = 2
APPEARS IN
RELATED QUESTIONS
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Solve the following equation and check your result:
5t − 3 = 3t − 5
Solve the following equation and check your result:
8x + 4 = 3(x − 1) + 7
On subtracting 8 from x, the result is 2. The value of x is ______.
If `x/3 + 1 = 7/15`, then `x/3 = 6/15`
Solve the following:
`(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`
Solve the following:
5(x – 1) – 2(x + 8) = 0
Solve the following:
`(9 - 3y)/(1 - 9y) = 8/5`
Solve the following:
4(3p + 2) – 5(6p – 1) = 2(p – 8) – 6(7p – 4)
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
