Advertisements
Advertisements
Question
Solve the following:
`(2x - 1)/5 = (3x + 1)/3`
Advertisements
Solution
Given, `(2x - 1)/5 = (3x + 1)/3`
⇒ 3(2x – 1) = 5(3x + 1) ...[By cross-multiplication]
⇒ 6x – 3 = 15x + 5
⇒ 6x – 15x = 3 + 5 ...[Transposing 15x to LHS and – 3 to RHS]
⇒ – 9x = 8
⇒ `(-9x)/(-9) = 8/(-9)` ...[Dividing both sides by – 9]
∴ `x = (-8)/9`
APPEARS IN
RELATED QUESTIONS
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Solve the following equation and check your result:
5t − 3 = 3t − 5
Solve the following equation and check your result:
`2y + 5/3 = 26/3 - y`
Solve the following:
`(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`
Solve the following:
`x/5 = (x - 1)/6`
Solve the following:
5(x – 1) – 2(x + 8) = 0
Solve the following:
`(3t + 5)/4 - 1 = (4t - 3)/5`
Solve the following:
`(2y - 3)/4 - (3y - 5)/2 = y + 3/4`
Solve the following:
0.25(4x – 5) = 0.75x + 8
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
