Question

The expression in each circle is the result of the sum of the two non outlined boxes connected to it, complete writing the expression in simplified form.

4x+3y---------(5x+7y)---------x+4y
! !
! !
! !
(Blank.) (4x+5y)
! !
! !
2x-y---------(Blank)-----------3x+y

Answer 1

5x

Explanation:

Answer/Step-by-step explanation:

The circle by your left:

(4x + 3y) + (2x - y)

Distribute +1

4x + 3y + 2x - y

Add like terms together

6x + 2y

The rectangle by at the bottom right:

(4x + 5y) - (x + 4y)

Distribute -1

4x + 5y - x - 4y

Group like terms

4x - x + 5y - 4y

3x + y

The circle at the bottom middle:

(2x - y) + (3x + y)

Distribute +1

2x - y + 3x + y

Group like terms

2x + 3x - y + y

5x