Question

substitution method
2x+3/y=1 5x-2/y=11/12
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Answer 1

Answer: x = 1 and y = 6

Step-by-step explanation:

2x + 3/y = 1 (1)

5x - 2/y = 11/12 (2)

Let 1/y = a, we get

2x + 3a = 1

2x = 1 - 3a

x = (1-3a)/2 (3)

5x - 2a = 11/12

60x - 24a = 11 (4)

Substituting the value of x in (4), we get

60((1-3a)/2) - 24a = 11

30(1-3a) - 24a = 11

30 - 90a - 24a = 11

-114a = -19

a = 1/6

Substituting the value of a in (3), we get

x = (1 - 3(1/6))/2

x = (1-1/2)/2

x = (1/2)2

x = 1

a = 1/6

1/y = 1/6

Therefore, y = 6