Value of x, y which satisfies 3x+5y=12xy and 7x-2y=4xy are
Answers
Answer:
y = 41/44....x=41/72
Step-by-step explanation:
substitute the values of x and y in the equation and u will get the answer
The value of x= 41/72 and y = 41/44.
Given:
The equations 3x+5y=12xy and 7x-2y=4xy.
To Find:
Value of x and y which satisfies the given equations.
Solution:
We have two equations
3x+5y=12xy ................................(1)
7x-2y=4xy .................................(2)
Multiplying equation (1) by 2, we get
6x+10y= 24xy ................................(3)
Multiplying equation (2) by 5, we get
35x-10y=20xy ..................................(4)
Adding equations (3) and (4) we get
(6x+10y) + (35x-10y) = 24xy + 20xy
⇒ 41x = 44xy
⇒ y = 41/44.
Substituting this value of y in equation (2) we get,
7x- (2*) = 4x *
⇒ (7x * 22) - 41 = 2x *41
⇒ 154x - 41= 82x
⇒ 72x= 41
⇒ x= 41/72.
∴ The value of x= 41/72 and y = 41/44.
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