Question

resolva os sistemas
a)4x+3y=36
x-3y=-6

b)2×+y=16
x-y=2

c)5x-2y=40
3x+y=35

d)2x+4y=6
x-2y=3​

Answer 1

Resposta:

a) x = 6; y = 4

b) x = 6; y = 4

c) x = 10; y = 5

d) x = 3; y = 0

Explicação passo-a-passo:

a)

4x+3y=36

 x-3y=-6

5x = 30

x = 6

4(6) + 3y = 36

24 + 3y = 36

3y = 36 - 24

3y = 12

y = 4

b)

2x+y=16

 x-y=2

3x = 18

x = 18 / 3

x = 6

6 - y = 2

y = 4

c)

5x-2y=40

3x+y=35 . (2)

5x - 2y = 40

6x + 2y = 70

11x = 110

x = 10

5 (10) - 2y = 40

50 - 2y = 40

-2y = -10

y = 5

d)

2x+4y=6

x-2y=3​ . (2)

2x + 4y = 6

2x - 4y = 6

4x = 12

x = 3

2x + 4y = 6

2 (3) + 4y = 6

6 + 4y = 6

4y = 0

y = 0