Question

How do you solve `6( 3x - 2y ) - ( x + 7y )`?

Answer 1

`17x-19y`

Explanation:

Start by distributing the 6:

`color(red)(6(3x-2y))-(x+7y)`

`=color(red)(18x-12y)-(x+7y)`

Then distribute the negative 1:

`18x-12ycolor(blue)(-1(x+7y))`

`=18x-12ycolor(blue)(-x-7y)`

Combine like terms:

`=17x-19y`

Answer 2

`17x - 19y`

Explanation:

You can find the answer using the distributive property. This means that the `2` terms inside the brackets are multiplied by what's outside the brackets.

Therefore, the `3x` and the `-2y` are multiplied by `6`, and the `x` and `7y` are multiplied by `-1`. Then you gather like terms to get your answer of `17x - 19y`.

`6 * 3x + 6 * (-2y) -x - 7y`

`18x - 12y - x - 7y`

`17x - 19y`