Advertisements
Advertisements
Question
Solve the following equation:
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
Advertisements
Solution
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
⇒ (x - 1)(7x - 26) = (7x - 14)(x - 3)
⇒ 7x2 - 7x - 26x + 26 = 7x2 - 14x - 21x + 42
⇒ -33x + 26 = -35x + 42
⇒ 35x - 33x = 42 - 26
⇒ 2x = 16
⇒ x = 8
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`(3"x")/("x" + 6) - "x"/("x" + 5) = 2`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Six more than one-fourth of a number is two-fifth of the number. Find the number.
If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages
Solve: `(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
Solve the following inequation
x ≤ 7, where x is a natural 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?
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
