How to solve 2(y+x) + -1y + -1y + x + (-13) + 8(2-x)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Multiply `2` by each term inside the parentheses.

`2y+2x-1y-1y+x-13+8(2-x) `


Multiply `8` by each term inside the parentheses.

`2y+2x-1y-1y+x-13+16-8x`


Remove the `-1` from `-1y` .

`2y+2x-y-y+x-13+16-8x `


Combine all similar terms in the polynomial `2y+2x-y-y+x-13+16-8x` .

`-5x+3 `


Reorder the polynomial `-5x+3` alphabetically from left to right, starting with the highest order term.

`3-5x`

Approved by eNotes Editorial
An illustration of the letter 'A' in a speech bubbles

Simplify `2(y + x) + (-1y) + (-1y) + x + (-13) + 8(2-x).`

First distribute the 2 to (y + x) and 8 to (2 - x).

`2y + 2x + (-1y) + (-1y) + x + (-13) + 16 - 8x`

Now combine like terms.

`2y + (-1y) + (-1y) = 0y = 0`

`2x + x - 8x = -5x`

`-13 + 16 = 3`

Therefore this gives us `0y - 5x + 3` or `-5x + 3` .

The simplified solution is `-5x + 3` or `3 - 5x.`

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial