Advertisements
Advertisements
प्रश्न
Solve the following:
`1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
Advertisements
उत्तर
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
संबंधित प्रश्न
If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?
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: 5x + `7/2 = 3/2x` - 14
If 8x – 3 = 25 + 17x, then x is ______.
9 is subtracted from the product of p and 4, the result is 11. The value of p is ______.
Solve the following:
`x/5 = (x - 1)/6`
Solve the following:
4t – 3 – (3t + 1) = 5t – 4
Solve the following:
0.25(4x – 5) = 0.75x + 8
Solve the following:
`(5x + 1)/(2x) = - 1/3`
