Q. 4 C5.0( 4 Votes )

Let us solve the following simultaneous equations in two variables by the method of substitution and check whether the solutions satisfy the equations.




Answer :

Given … (1)


And … (2)


Expressing x of equation (1) in terms of y,



x + y = 3xy


x = 3xy – y … (3)


Substituting (3) in (2),





3xy – 2y = xy


3xy – xy = 2y


2xy = 2y


x = 1


Substituting x value in (3),


x = 3xy – y


1 = 3(1) y – y


1 = 3y – y


1 = 2y


y = 1/2


By solving, x = 1 and y = 1/2.


Justification:


(1) -




3 = 3


And (2) -




1 = 1


We can see that x = 1 and y = 1/2 satisfy equations (1) and (2).


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