From the sum of 3x-4y+5z,2x-7y and 9z-5y subtract -2xy-2y-2z

5x - 14y + 16z + 2xy

Step-by-step explanation:

Given expressions:

        3x - 4y + 5z

         2x - 7y

         9z - 5y

         -2xy - 2y -2z

Solution:

 Sum of 3x - 4y + 5z

               2x - 7y

                9z - 5y

    =  3x - 4y + 5z + 2x - 7y +  9z - 5y

    = 3x + 2x - 4y - 7y -5y + 5z + 9z

     = 5x - 16y + 14z

Subtract  -2xy - 2y -2z

    = 5x - 16y + 14z - ( -2xy - 2y -2z )

    = 5x - 16y + 14z + 2xy + 2y + 2z

    = 5x - 16y + 2y + 14z + 2z + 2xy

   = 5x - 14y + 16z + 2xy

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.