Question

100x + 99y = 5 and 99x + 100y = 3 . Find the values of x and y

Answer 1

ans

100x+99y=5 ----------------equetion (1)

99×+100y=3 ----------------eqution (2)

lets, be subtraction 1 from 2

100x+99y=5

-99x+100y=3

ans= 1x+ -1y= 2

so the eq 1x of cancelled and divide the ans of 2÷1

ans2therefore

x=2

putx=2 in eq no 1

100x+99y=5

100(2)+99y=5

200+99y=5

therefore (r.h.s) 5=200-99y

5=1y

5÷1

y=5

y=5
solution of equation is(x,y)=(2,5)