Question

Solve the following equation and check your result:

`2y + 5/3 = 26/3 - y`

Answer 1

`2y + 5/3 = 26/3 - y`

Transposing -y to L.H.S, we get

`2y + 5/3 + y = 26/3`

`3y + 5/3 = 26/3`

Now, transposing `5/3` to R.H.S, we get

`3y = 26/3 - 5/3`

`3y = 21/3`

Now, dividing both sides by 3, we get

`(3y)/3 = 21/3 xx 1/3`

`y = 21/9 = 7/3`

L.H.S =  `2y + 5/3`

` = 2 xx 7/3 + 5/3`

` = 14/3 + 5/3`

` = 19/3`

R.H.S = `26/3 - y`

` = 26/3 - 7/3 `

`= 19/3`

L.H.S. = R.H.S.

Hence, the result obtained above is correct.