Question

2/3X + 5/6 =11/4 (X +2)

Answer 1

The value of x for expression is -
`(56)/(25)` .

Explanation:

Given expression as :

`(2)/(3)` x +
`(5)/(6)` =
`(11)/(4)` ( x + 2 )

Or,
`(2)/(3)` x +
`(5)/(6)` =
`(11)/(4)` x +
`(11)/(4)` × 2

or ,
`(2)/(3)` x -
`(11)/(4)` x =
`(11)/(2)` -
`(5)/(6)`

Or, (
`(2)/(3)` -
`(11)/(4)` ) x =
`(33 - 5)/(6)`

Or, (
`( 8 - 33 )/(12)` ) x =
`(28)/(6)`

Or,
`(-25)/(12)` x =
`(28)/(6)`

∴ x =
`((28)/(6))/((-25)/(12))`

Or, x = -
`(28* 12)/(6* 25)`

I.e x = -
`(56)/(25)`

Hence The value of x for expression is -
`(56)/(25)` . Answer