Question

Solve :

99x+101y=499

101x+99y= 501

(With steps)

Answer 1

Consider
99x+101y=499_______(1)
101x+99y=501 ________(2)

multiplying equation (1) by -101 we get

-9999x-10201y=-50,399_________(3)

multiplying equation (2) by 99

9999x+9801y=49,599___________(4)

adding (3) and (4) we get
-400y=-800
y=2

substituting y=2 in equation (1) we get
99x+202=499
99x=499-202
99x=297
x=297/99
x=3

check 99(3)+ 101(2) = 297+202 =499

LIke if satisifed