Question

me ajudem!!!!

equação de 1° grau

a) x=6y
2x-7y= - 10

b) 2x+3y= 2
4x+y= 5

c) x/4+y=5/2
x-y/2=1

d) 2x/3-y/3=4
x/3+y/2=6​

Answer 1

Explicação passo-a-passo:

a) 2×6y - 7y = - 10

12y - 7y = - 10

5y = - 10

y = -10/5 = -2

x = 6×(-2) = -12

b) 2x + 3y = 2 (×-2)

4x + y = 5

-4x - 6y = -4

4x + y = 5

- 5y = 1

y = -1/5

4x - 1/5 = 5

4x = 5 + 1/5 = 26/5

x = 26/5 × 1/4 = 26/20 = 13/10

c) x/4 + 3y = 5/2

x/2 - y/2 = 1 (×6)

x/4 + 3y = 5/2

3x - 3y = 6

13x/4 = 17/2

x = 17/2 × 4/13 = 68/26 = 34/13

34/13 × 1/2 - y/2 = 1

- y/2 = 1 - 34/26

- y = - 4/13 × 2 = - 8/13

y = 8/13

d) 2x/3 - y/3 = 4

x/3 + y/2 = 6 (×-2)

2x/3 - y/3 = 4

-2x/3 - y = - 12

- 4y/3 = - 8

- 4y = - 24

y = 6

6/3 + y/2 = 6

y/2 = 6 - 2

y = 4 × 2 = 8