Question

If $12x+17y=53$ and $17x+12y=63$ then find the value of (x+y).

Answer 1

$12x+17y=53$......(1)

$17x+12y=63$.......(2)

adding equation (1) and (2) then we get

$29x+29y=116$

$29(x+y)=116$

$x+y=\frac{116}{29}$

$x+y=4$