Advertisements
Advertisements
Question
Solve the following:
`1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
Advertisements
Solution
Given, `1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
⇒ `x/2 + 1/2 + x/3 - 1/3 = (5x)/12 - 5/6`
⇒ `x/2 + x/3 - (5x)/12 = 1/3 - 1/2 - 5/8` ...[Transposing `1/2, 1/3` to RHS and `(5x)/12` to LHS]
⇒ `(6x + 4x - 5x)/12 = (2 - 3 - 5)/6`
⇒ `(5x)/12 = (-6)/6`
⇒ `5x xx 6 = (-6) xx 12` ...[By cross-multiplication]
⇒ `x = ((-6) xx 12)/(5 xx 6)`
∴ `x = (-12)/5`
APPEARS IN
RELATED QUESTIONS
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
Solve the following equation and check your result:
`3m = 5m - 8/5`
In the equation 3x – 3 = 9, transposing –3 to RHS, we get 3x = 9.
Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
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:
`3x - (x - 2)/3 = 4 - (x - 1)/4`
Solve the following:
`(2y - 3)/4 - (3y - 5)/2 = y + 3/4`
Solve the following:
3(5x – 7) + 2(9x – 11) = 4(8x – 7) – 111
