What would be equivalent to (-7 x +8x + 19 y) - (6 y + 8 - 20 x - 16 y)
Accepted Solution
A:
Answer:29 y + 21 x - 8Step-by-step explanation:Simplify the following:
-7 x + 8 x + 19 y - (6 y + 8 - 20 x - 16 y)
Grouping like terms, 6 y + 8 - 20 x - 16 y = (6 y - 16 y) - 20 x + 8:
-7 x + 8 x + 19 y - ((6 y - 16 y) - 20 x + 8)
6 y - 16 y = -10 y:
-7 x + 8 x + 19 y - (-10 y - 20 x + 8)
Factor 2 out of -10 y - 20 x + 8:
-7 x + 8 x + 19 y - 2 (-5 y - 10 x + 4)
Grouping like terms, -7 x + 8 x + 19 y - 2 (-5 y - 10 x + 4) = 19 y - 2 (4 - 10 x - 5 y) + (8 x - 7 x):
19 y - 2 (4 - 10 x - 5 y) + (8 x - 7 x)
8 x - 7 x = x:
19 y - 2 (4 - 10 x - 5 y) + x
-2 (4 - 10 x - 5 y) = -8 + 20 x + 10 y:
19 y + -8 + 20 x + 10 y + x
Grouping like terms, 19 y - 8 + 20 x + 10 y + x = (19 y + 10 y) + (20 x + x) - 8:
(19 y + 10 y) + (20 x + x) - 8
19 y + 10 y = 29 y:
29 y + (20 x + x) - 8
20 x + x = 21 x:
Answer: Β 29 y + 21 x - 8