Question

1/3x+y=10/3;2x+1/4y=11/4​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

1x/3 + y = 10 .............(1)

Taking the LCM of the denominators and then solving it.

⇒ x + 3y = 30 ...........(2)

2x + 1y/4 = 11/4 .........(3)

Taking the LCM of the denominators and the solving it.

⇒ 8x + y = 11 ............(4)

Multiplying the equation (4) by 3, we get

⇒ (8x + y = 11)*3

= 24x + 3y = 33

Now subtracting it from equation (2)

x + 3y = 30

24x + 3y = 33

- - -

_______________

- 23x = - 3

_______________

⇒ 23x = 3

x = 3/23

Now, substituting the value of x = 3/23 in (2).

⇒ x + 3y = 30

⇒ 3/23 + 3y = 30

⇒ 3y = 30 - 3/23

⇒ 3y = (690 - 3)/23

⇒ 3y = 687/23

⇒ y = 687/23*3

⇒ y = 687/69

⇒ y = 229/23

Answer