Question

the solution of the equation 2x+5y/xy=6 and 4x-5y/xy+3=0 is



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Answer 1

Answer:

x=10/9;y=4/3

Step-by-step explanation:

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Answer 2

The solution for x is 1, and the solution for y is 2.

• Given equations are :

( 2x + 5y ) / xy = 6

Or, 2x + 5y = 6xy  -(i)

( 4x - 5y ) / xy + 3 = 0

Or, ( 4x - 5y ) / xy = -3

Or, 4x - 5y = -3xy   -(ii)

• Adding equation (i) and (ii), we get,

2x + 5y = 6xy

4x  - 5y = -3xy

(+)  (-)      (-)

 2x + 4x + 5y - 5y = 6xy - 3xy

Or, 6x + 0 = 3xy

Or, 6x = 3xy

Or, y = 6x / 3x

Or, y = 2

• Putting y = 2 in equation (i), we get,

2x + (5 × 2) = 6x.2

Or, 2x + 10 = 12x

Or, 10 = 12x - 2x

Or, 10 = 10x

Or, x = 10 / 10

Or, x = 1

• Therefore, x = 1 and y = 2.