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
The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?
Solve the following equation and check your result:
5x + 9 = 5 + 3x
Solve the following equation and check your result:
`x = 4/5 (x + 10)`
Solve the following:
`8/x = 5/(x - 1)`
Solve the following:
`(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`
Solve the following:
`(3t + 5)/4 - 1 = (4t - 3)/5`
Solve the following:
`(9 - 3y)/(1 - 9y) = 8/5`
Solve the following:
`(3x + 2)/(2x - 3) = - 3/4`
Solve the following:
`(5x + 1)/(2x) = - 1/3`
Solve the following:
`(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
