Question

12x + 17y =53 ;17x + 12y = 63

Answer 1

12x + 17y = 53 ....(1)
17x +. 12y = 63 ...(2)

add both equation
29(x+y) = 116
x + y = 4 .......(3)

subtract both equation (2-1)
5( x - y ) =10
x -y = 2 .....(4)

add equation 3 and 4
2x = 6.... x = 3
y = 1