1.

Solve the following simultaneous equations. 101x + 99y = 501, 99x + 101y = 499

Answer»

101x + 99y = 501 .............(I) 

99x + 101y = 499 .............(II)

Adding equations (I) and (II) and dividing by 200

x + y = 5 .............(III)

Subtracting (II) from (I) and dividing by 2 

x - y = 1 ............(IV)

Solving equations (III) and (IV),

x = 3 

y = 2



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