Q2 of 61 Page 4

Solve the following simultaneous equation.

99x + 101 y = 499; 101x + 99y = 501



Adding both the Equations



Dividing both sides by 200


…(III)


Subtract equation (I) and (II)



Divide both sides by (–2)


…(IV)


Equating Eq. (III) and (IV)





Substituting x=3 in Eq. III





∴ solution is (x, y) = (3, 2)


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