Question

Simplify 1/3 (12x+6y) - 1/6 (12x+6y)

please show your work thanks

Answer 1

`2x+y`

Explanation:

we have

`(1)/(3)(12x+6y)-(1)/(6)(12x+6y)`

Factor the term (12x+6y)

`(12x+6y)[(1)/(3)-(1)/(6)]`

Remember that

`(1)/(3)=(2)/(6)`

substitute

`(12x+6y)[(2)/(6)-(1)/(6)]`

`(12x+6y)(1)/(6)`

Applying distributive property

`(12)/(6)x+(6)/(6)y`

Simplify

`2x+y`