Question

1/7x +1/6y =3
1/2x - 1/3y=5

Solve using any one of the following methods
Elimination, substitution , cross multiplication ​

Answer 1

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Answer 2

Answer:

The required solution is

x = 1/14, y = 1/6

Step-by-step explanation:

1/7x +1/6y =3 - - - - - - - (1)

1/2x - 1/3y=5 - - - - - - - - (2)

Given two equations can be rewritten as

6/x + 7/y = 126 - - - - - - - (3)

3/x - 2/y = 30 - - - - - - - - - (4)

Multiplying Equation (4) by 2 we get

6/x - 4/y = 60 - - - - - - - - - - (5)

Now Equation (3) - Equation (5) gives

11/y = 66

So

y = 11/66 = 1/6

Putting y = 1/6 in Equation (3) we get

6/x + 42 = 126

6/x = 84

x = 6/84 = 1/14

So the required solution is x = 1/14, y = 1/6