Advertisements
Advertisements
Question
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Advertisements
Solution
`"x" + 2/6 - 11 - "x"/3 - 1/4 = 3"x" - 4/12`
`=> ("x" + 2)/6 - (4(11 - x) - 1 xx 3)/12 = (3"x" - 4)/12`
`=> ("x" + 2)/6 - (44 + 4x + 3)/12 = (3"x" - 4)/12`
`=> (2("x" + 2) - 41 + 4"x")/12 = (3"x" - 4)/12`
`=> (2"x" + 4 - 41 + 4"x")/12 = (3"x" - 4)/12`
`=> (6"x" - 37)/12 = (3"x" - 4)/12`
⇒ 12(6x − 37) = 12(3x − 4)
⇒ 72x − 444 = 36x − 48
⇒ 72x − 36x = −48 + 444
⇒ 36x = 396
⇒ x = `396/36 = 11`
∴ x = 11
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`1/("x - 1") + 2/("x" - 2) = 3/("x" - 3)`
Solve the following equation:
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
Solve: `(4-3"x")/5 + (7 - "x")/3 + 4 1/3 = 0` Hence, find the value of 'p', if 3p - 2x + 1 = 0
Solve: 0.25 + `1.95/"x" = 0.9`
Solve:
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
A man’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`
Linear inequation has almost one solution
Solve the following inequation
x – 6 < 1, where x is a natural number
Solve the following inequation
6x – 7 ≥ 35, where x is an integer
