Advertisements
Advertisements
Question
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Advertisements
Solution
`(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
`=> (2(3"x" - 2) + 3("2x" + 3))/6 = "x" + 7/6`
`=> ("6x" - 4 + "6x" + 9)/6 = ("6x" + 7)/6`
`=> ("12x" + 5)/6 = ("6x" + 7)/6`
⇒ 6(12x + 5) = 6(6x + 7)
⇒ 72x + 30 = 36x - 42
⇒ 72x - 36x = 42 - 30
⇒ 36x = 12
x = `12/36`
∴ x = `1/3`
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
20 = 6 + 2x
Solve the following equation:
15 + x = 5x + 3
Solve the following equation:
`(3"x" + 2)/("x" - 6) = -7`
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.
A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Linear inequation has almost one solution
Solve the following inequation
x – 6 < 1, where x is a natural number
The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?
