What is 2+(4x+(-7)y)-(x+9y) ?

The solution to 2+(4x+(-7)y)-(x+9y) is 3x-16y+2

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simplify 2+(4x+(-7)y)-(x+9y)

simplify

2 + (4 x + (- 7) y) - (x + 9 y)

3 x - 16 y + 2

Solution steps

2 + (4 x + (- 7) y) - (x + 9 y)

Apply rule:

a + (b + c) = a + b + c

2 + (4 x + (- 7) y) = 2 + 4 x + (- 7) y

= 2 + 4 x - 7 y - (x + 9 y)

Apply the distributive law:

- (a + b) = - a - b

- (x + 9 y) = - x - 9 y

= 2 + 4 x - 7 y - x - 9 y

Group like terms

= 4 x - x - 7 y - 9 y + 2

Add similar elements:

4 x - x = 3 x

= 3 x - 7 y - 9 y + 2

Add similar elements:

- 7 y - 9 y = - 16 y

= 3 x - 16 y + 2

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