Question

How do you solve `x/3+ x/4=1`?

Answer 1

`x=12/7`

Explanation:

The LCM (lowest common multiple) of 3 and 4 is 12.

Multiplying `color(blue)"All"` terms on both sides of the equation by 12 will eliminate the fractions.

`cancel(12)^4xxx/cancel(3)^1+cancel(12)^3xxx/cancel(4)^1=(1xx12)`

which simplifies to.

`4x+3x=12rArr7x=12`

To solve for x divide both sides by 7.

`(cancel(7) x)/cancel(7)=12/7`

`rArrx=12/7" is the solution"`