Question

Subtract the sum of 2x+5y and 6y – 4x from the sum of 5x – 4y and
9y – 3x.

Answer 1

Answer:

2x+5y

+(6y-4x)

=-2x+11y

5x-4y

+(9y-3x)

=5y+2x

5y+2x

-(11y-2x)

=-6y+4x

Answer 2

Answer:

Step-by-step explanation:

Given that,

The sum of 2x+5y and 6y-4x

2x+5y-4x+6y

= ( 2x-4x) + ( 5y+ 6y)   (∵ Like terms adding )

= - 2x+11y

Now the sum of 5x- 4y and 9y - 3x

5x - 4y - 3x + 9y

= ( 5x - 3x ) + ( 9y -4y )

= 2x + 5y

Now subtract the sum of ( -2x + 11y ) from ( 2x + 5y )

- 2x + 11y - ( 2x + 5y )

= - 2x + 11y - 2x - 5y      ( ∵ - * - = + )

= ( -2x -2x ) + ( 11y - 5y )   ( ∵ Like terms )

= - 4x + 6y  is the answer.