Advertisements
Advertisements
Question
Solve the following equations for the unknown: `(1)/(x - 1) + (4)/(5) = (2)/(3), x ≠ 1`
Solution
`(1)/(x - 1) + (4)/(5) = (2)/(3), x ≠ 1`
⇒ `(1)/(x - 1) = (2)/(3) - (4)/(5)`
⇒ `(1)/(x - 1) = (10)/(15) - (12)/(15)`
⇒ `(1)/(x - 1) = (-2)/(15)`
⇒ 15 = -2(x - 1)
⇒ 15 = -2x + 2
⇒ 2x = -13
⇒ x = `(-13)/(2)`
⇒ x = `-6(1)/(2)`.
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`(4(y + 2))/5 = 7 + "5y"/13`
Solve the following equation:
`("2x" - 13)/5 - ("x" - 3)/11 = ("x" - 9)/5 + 1`
Solve the following equation:
3p = 12
x (x + 5) = x² +x + 32
Solve: x – 30% of x = 35
Solve the following equations: a(x - 2a) +b (x - 2b) = 4ab
The sum of two numbers is 50, and their difference is 10. Find the numbers.
The speed of a boat in still water is 8km/h. It takes the same time in going 20km in downstream as it takes in going 12 km upstream. Find the speed of the stream.
A boy is now one-third as old as his father. Twelve years hence he will be half as old as his father. Determine the present ages of the boy and that of his father.
A man sells an article and makes a profit of 6%. Had he bought the article at a price 4% less and sold at a price higher by Rs 7.60, he would have made a profit of 12%. Find his cost price.
