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Amily13
@Amily13
December 2019
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Qual a resolução do sistema: 8x/2+y=5 x+y=1
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natteciaribeiro
Substituição:
A) 3x + 2y = 40 -> 3(-5 + 3y) + 2y = 40 -> -15 + 3y + 2y = 40 -> 5y = 40 +15 -> 5y = 55 -> y = 11
x - 3y = -5 -> x = -5 +3y -> x = -5 + 3 * 11 -> x = -5 + 33 -> x = 28
B) x = y - 5 -> x = (2x + 8) -5 -> x = 2x + 8 -5 -> x - 2x = 3 -> -x = 3 (-1) -> x = -3
y = 2x + 8 -> y = 2 (-3) + 8 -> y = -6 + 8 -> y = 2
Adição:
A) 4x + y = 7 (5) -> 20x + 5y = 35
2x - 5y = 9 (1) -> 2x - 5y = 9
22x = 44
x = 44/22
x = 2
4 * 2 + y = 7
8 + y = 7
y = 7 - 8
y = -1
B) 4x + 3y = 14 (2) -> 8x + 6y = 28
5x - 2y = 29 (3) -> 15x - 6y = 87
23x = 115
x = 115/23
x = 5
5 * 5 - 2y = 29
25 - 2y = 29
-2y = 29 - 25
-2y = 4 (-1)
2y = -4
y = -4/2
y = -2
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Lista de comentários
A) 3x + 2y = 40 -> 3(-5 + 3y) + 2y = 40 -> -15 + 3y + 2y = 40 -> 5y = 40 +15 -> 5y = 55 -> y = 11
x - 3y = -5 -> x = -5 +3y -> x = -5 + 3 * 11 -> x = -5 + 33 -> x = 28
B) x = y - 5 -> x = (2x + 8) -5 -> x = 2x + 8 -5 -> x - 2x = 3 -> -x = 3 (-1) -> x = -3
y = 2x + 8 -> y = 2 (-3) + 8 -> y = -6 + 8 -> y = 2
Adição:
A) 4x + y = 7 (5) -> 20x + 5y = 35
2x - 5y = 9 (1) -> 2x - 5y = 9
22x = 44
x = 44/22
x = 2
4 * 2 + y = 7
8 + y = 7
y = 7 - 8
y = -1
B) 4x + 3y = 14 (2) -> 8x + 6y = 28
5x - 2y = 29 (3) -> 15x - 6y = 87
23x = 115
x = 115/23
x = 5
5 * 5 - 2y = 29
25 - 2y = 29
-2y = 29 - 25
-2y = 4 (-1)
2y = -4
y = -4/2
y = -2