Advertisements
Advertisements
प्रश्न
Solve the following:
`(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
Advertisements
उत्तर
Given, `(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
⇒ `(2(3t - 2) + 3(2t + 3))/6 = (6t + 7)/6`
⇒ 6t – 4 + 6t + 9 = 6t + 7
⇒ 12t + 5 = 6t + 7
⇒ 12t – 6t = 7 – 5 ...[Transposing 6t to LHS and 5 to RHS]
⇒ 6t = 2
⇒ `(6t)/6 = 2/6` ...[Dividing both sides by 6]
∴ `t = 1/3`
APPEARS IN
संबंधित प्रश्न
If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?
If 8x – 3 = 25 + 17x, then x is ______.
In the equation 3x – 3 = 9, transposing –3 to RHS, we get 3x = 9.
If `x/3 + 1 = 7/15`, then `x/3 = 6/15`
Solve the following:
`(0.2x + 5)/(3.5x - 3) = 2/5`
Solve the following:
8x – 7 – 3x = 6x – 2x – 3
Solve the following:
10x – 5 – 7x = 5x + 15 – 8
Solve the following:
5(x – 1) – 2(x + 8) = 0
Solve the following:
`(3x + 2)/(2x - 3) = - 3/4`
Solve the following:
0.16(5x – 2) = 0.4x + 7
