Question

Q.9
In the equations 3x + 2y = 13xy and 4x - 5y =
2xy, the values of x and y that satisfy the
equations are -
[NTSE-2017)
(A) (2, 3)
(B) (3, 2)
(c) ( 1\2,1\3)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

option c (1/2 , 1/3 )

Step-by-step explanation:

3x +2y = 13xy -------(1)

4x - 5y = 2xy --------(2)

by using elimination method

multiply by 5 in eq. 1 and 2 in eq.2

5(3x + 2y = 13xy)

2(4x - 5y = 2xy)

15x + 10y = 65xy

8x - 10y = 4xy

23x = 69xy

y = 23x/69x

y = 1/3

put y in eq.1

3x + 2y = 13xy

3x + 2(1/3) =13x(1/3)

3x + 2/3 = 13x/3

2/3 = 13x/3 -3x

2/3 = (13x - 9x)/3

2/3 = 4x/3

2×3 = 4x × 3

6 = 12x

x = 1/2