Question

Solve 23x-29y=98 and 29x-23y=110

Answer 1

23x-29y=98
29x-23y=110
-7x-7y=12
x-y=12

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Given,

23x - 29y = 98 …………...(1)

29x - 23y = 110 …………...(2)

Now,

Adding (1) and (2) we get,

52x - 52y = 208

52(x - y) = 208

x - y = 208/52

x - y = 4 ……………….(3)

Now,

Subtracting (1) and (2) we get,

-6x - 6y = -12

-6(x + y) = -12

x + y = -12/-6

x + y = 2…………...(4)

Now,

Adding (3) and (4) we get,

2x = 6

x = 6/2

x = 3

Now,

Putting value of x in (3) we get,

x + y = 2

3 + y = 2

y = 2 - 3

y = -1

Therefore,

x = 3 and y = -1