Question

resolva os sistemas e determine os valores de x e y


A\ X - 2Y = -6
2X - Y = -4





B\ 2X - Y = 2
3Y - X = 4



C\ 4Y - 6X = 0
2Y + X = 8




D\ 5X - 3Y = 0
3X - Y = -8

Answer 1

A\ X - 2Y = -6
2X - Y = -4

X = -6 + 2Y

2(-6+2Y) - Y = -4
-12 + 4Y - Y = -4
3Y = -4 + 12
3Y = 8
Y = 8/3

X = -6 + 2.8/3
X = -6 + 16/3 (×3)
X = -18 + 16
X = -2





B\ 2X - Y = 2
3Y - X = 4

- Y = 2 - 2X (-1)
Y = - 2 + 2X

3(-2+2X) - X = 4
-6 + 6X - X = 4
5X = 4 + 6 =
5X = 10
X = 2

Y = - 2 + 4
Y = 2







C\ 4Y - 6X = 0
2Y + X = 8

X = 8 - 2Y

4Y - 6(8-2Y) = 0
4Y - 48 + 12Y = 0
16Y = 48
Y = 3

X = 8 - 2 . 3
X = 8 - 6
X = 2






D\ 5X - 3Y = 0
3X - Y = -8


- Y = -8 - 3X (-1)
Y = 8 + 3X


5X - 3(8+3X) = 0
5X - 24 - 9X = 0
5X - 9X = 24
- 4X = 24 (-1)
X = -24/4
X = - 6

Y = 8 + 3 . (-6)
Y = 8 - 18
Y = - 10