Question

Can you please solve this by adding and subtracting the equations:
23x - 29y = 98
29x - 23y = 110

Answer 1

23x − 29y = 98    ....(1)

29x − 23y = 110     ...(2)

Adding (1) and (2), we get

52x − 52y = 208

52 (x-y) =208

⇒x − y = 4     .....(3)

Subtracting (2) from (1), we get

−6x − 6y = −12

⇒x + y = 2      ....(4)

adding (3) and (4), we get

2x = 6

⇒x = 3

Now, from (4), we get

y = −1

Hence, x=3 and y= -1..

Answer 2

y=2 x=6.78..................