Add 5y to 2x 2. Multiply the sum by 3 3. Subtract x+y from the product
We'll follow the directions step by step and see what we can get.
1. 5y + 2x : Adding. This creates the "sum" 2. 3(5y + 2x) : We multiply the entire thing, since it makes up the "sum" 3. 3(5y + 2x) - (x + y) : Due to the order of operations, we would do the product (multiplying) first, and then subtract the value.
So we're left with: 3(5y + 2x) - (x + y)
Now we can simplify this value with the order of operations.
3(5y + 2x) - (x + y) (15y + 6x) - (x + y) : The - between these can also be interpreted as a -1. We can multiply this out to eliminate the necessity of the parenthesis. 15y + 6x - x - y 15y - y + 6x - x : Rearrange for our sanity. 14y + 5x (or 5x + 14y) Option A
