Advertisements
Advertisements
Question
Solve the following:
`(2x - 1)/5 = (3x + 1)/3`
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
Solve the following equation and check your result:
`x = 4/5 (x + 10)`
Solve the following:
`(2x - 3)/(4x + 5) = 1/3`
Solve the following:
`(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`
Solve the following:
`x/5 = (x - 1)/6`
Solve the following:
8x – 7 – 3x = 6x – 2x – 3
Solve the following:
4t – 3 – (3t + 1) = 5t – 4
Solve the following:
0.25(4x – 5) = 0.75x + 8
Solve the following:
0.16(5x – 2) = 0.4x + 7
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
