Question

How do you solve `\frac { 11x } { 12} = \frac { x } { 2} + 5`?

Answer 1

`x=12`

Explanation:

To eliminate the fractions multiply ALL terms on both sides of the equation by the LCM of 2 and 12 , that is 12

`cancel(12)^1xx(11x)/cancel(12)^1=cancel(12)^6xxx/cancel(2)^1+(12xx5)`

`rArr11x=6x+60`

subtract 6x from both sides.

`11x-6x=cancel(6x)cancel(-6x)+60`

`rArr5x=60`

To solve for x, divide both sides by 5

`(cancel(5) x)/cancel(5)=60/5`

`rArrx=12" is the solution"`