Exercicios de sistemas

Exercícios – Sistemas de equações de 1°Grau com duas variáveis
1) Resolva os sistemas a seguir:
a) x – 2y = 3 2x + 4y = 6

b) 4x + 2y = 16 5x – 3y = 9

c) 2x + y = 4 x – y = -1

d) x + 2y = 10 4x – 6y = 6

e) 2x + 3y = 3 5x + 6 y = 12 f ) [pic]

g) [pic]

h) [pic]

i) [pic]

j) [pic]

Respostas.: a) (3, 0) b) (3, 2) c) (1, 2) d) (36/7; 17/7)
e) S = (6, -3) f) (-4,7) g) (-2,-3) h) (20,3)
i) (-1,-7/2) j) (17,-31/2)
Exercícios extras:

1)x + y = 10 x – y = 4

2)x – 2y = 3 x + 2y = 7

3)x – y = 1 -x + 3y = 3

4)x + y = 2 3x – y = 6

5)3x + 2y = 5 x + y = 2

6)x + 4y = -10 - x + 2y = 4

7)3x – y = 6 x + y = 2

8)x – 3y = -3 x – y = 1

9)5x + 4y = 1 2x – 3y = 5

10)x + y = 20 x – y = 6

11)x – 2y = 3 2x + y = 11

12)2x + 2y = 4 3x + 5y = - 10

13)x – 3y = 9 2x + 3y = 6

14)3x + 2y = 5 5x – 3y = 2

15)2x + 3y = 0 3x + 5y = 2
Respostas:
1)(7,3) 2)(5,1) 3)(3,2) 4)(2,0) 5)(1,1) 6)(-6,-1) 7)(2,0) 8)(3,2) 9)(1,-1)
10)(13,7) 11)(5,1) 12)(10,-8) 13)(5, -4/3) 14)(1,1)