What is (2x+5y)-(-3x+9y) ?

The solution to (2x+5y)-(-3x+9y) is 5x-4y

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simplify (2x+5y)-(-3x+9y)

simplify

(2 x + 5 y) - (- 3 x + 9 y)

5 x - 4 y

Solution steps

(2 x + 5 y) - (- 3 x + 9 y)

Apply rule:

(a) = a

(2 x + 5 y) = 2 x + 5 y

= 2 x + 5 y - (- 3 x + 9 y)

Apply the distributive law:

- (- a + b) = a - b

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

= 2 x + 5 y + 3 x - 9 y

Group like terms

= 2 x + 3 x + 5 y - 9 y

Add similar elements:

2 x + 3 x = 5 x

= 5 x + 5 y - 9 y

Add similar elements:

5 y - 9 y = - 4 y

= 5 x - 4 y

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