Advertisements
Advertisements
Question
Solve the following:
`8/x = 5/(x - 1)`
Advertisements
Solution
Given, `8/x = 5/(x - 1)`
⇒ 8(x – 1) = 5x ...[By cross-multiplication]
⇒ 8x – 8 = 5x
⇒ 8x – 5x = 8 ...[Transposing 5x to LHS and – 8 to RHS]
⇒ 3x = 8
⇒ `(3x)/3 = 8/3` ...[Dividing both sides by 3]
∴ `x = 8/3`
APPEARS IN
RELATED QUESTIONS
The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?
Solve the following equation and check your result:
2x − 1 = 14 − x
Solve the following equation and check your result:
`(2x)/3 + 1 = (7x)/15 + 3`
If `15/8 - 7x = 9`, then `-7x = 9 + 15/8`
Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
Solve the following:
`(2x - 3)/(4x + 5) = 1/3`
Solve the following:
4t – 3 – (3t + 1) = 5t – 4
Solve the following:
`x/2 - 1/4(x - 1/3) = 1/6(x + 1) + 1/12`
Solve the following:
`(3t + 5)/4 - 1 = (4t - 3)/5`
Solve the following:
`(9 - 3y)/(1 - 9y) = 8/5`
