Question

Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.

If you are stuck use the diagram.

Answer 1

`x \approx 2.18`

Explanation:

`3(x+4.5x)=36`

we can use the distributive property and get

`3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\`

and we can add like terms

`(3+13.5)x=36\\\\16.5x=36`

and know we divide both sides by 16.5

`16.5x*((1)/(16.5))=36*((1)/(16.5))\\\\x=(36)/(16.5)`

and doing the dvision we get that

`x\approx 2.18`