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`
Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`
28 is 12 less than 4 times a number. Find the number.
The sum of three consecutive odd numbers is 57. Find the numbers.
The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.
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: `1/3"x" - 6 = 5/2`
Solve:
`1/10 - 7/x = 35`
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Linear inequation has almost one solution
