Question

Which expression is equivalent to (−7x+8x+19y)−(6y+8−20x−16y)?

−19x−3y+8

- 19 x - 3 y + 8

−19x+9y+8

- 19 x + 9 y + 8

21x+29y−8

21 x + 29 y - 8

35x+19y−8

35 x + 19 y - 8

Answer 1

The expression that is equivalent to (-7x+8x+19y)- (6y+8-20x-16y) is -19x+9y+8

Step-by-step explanation:

The expression that is equivalent to (−7x+8x+19y)−(6y+8−20x−16y) is -19x+9y+8.

To simplify the expression, we can combine like terms. First, distribute the negative sign to all terms inside the parentheses:

-7x+8x+19y-6y-8+20x+16y

Combine the x-terms, the y-terms, and the constant terms separately:

(-7x+8x+20x)+ (19y-6y+16y)+ (-8)

Simplify each part:

21x+29y-8

Therefore, the equivalent expression is -19x+9y+8.

Answer 2

21x + 29y - 8

Step-by-step explanation:

(−7x+8x+19y)−(6y+8−20x−16y)

−7x+8x+19y−6y-8+20x+16y

(−7x+8x+20x)+(19y−6y+16y)-8

21x + 29y - 8