Advertisements
Advertisements
Question
Solve: `"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
Advertisements
Solution
`"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
`=> (2("x") -1("x" - 1))/2 = (3(1) - 1("x" - 2))/3`
`=> (2"x" - "x" + 1)/2 = (3 - "x" + 2)/3`
`=> (1"x" + 1)/2 = (5 - "x")/3`
⇒ 3(x + 1) = 2(5 - x)
⇒ 3x + 3 = 10 - 2x
⇒ 3x + 2x = 10 - 3
⇒ 5x = 7
`therefore "x" = 7/5`
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
Solve: 0.25 + `1.95/"x" = 0.9`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x – y `square` 0
Solve the following inequation
2a + 3 ≤ 13, where a is a whole number
An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?
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?
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
