Question

solve the fillowing simultaneous equations.
99x+101y=172;57x-49y=252​

Answer 1

99x+101y=499.xy ...(1)

101x+99y=501xy. ...(2)

Adding equation (1) and (2).

200x+200y=1000xy

x+y=5.xy ...(3)

Subtracting equation (1) from (2)

2x-2y=2xy

x-y=1.xy ...(4)

Solving equation (3)and (4)

2x=6 xy

1/3=y

2y=4xy

x=1/2