Question

Solve the following systems of equations:
$99x+101y=499$
$101x+99y=501$

Answer 1

Given,

$99x+101y=499$......(1)

$101x+99y=501$.......(2)

Adding eq(1) and eq(2)
$200x+200y=1000$
$x+y=5$ ...........eq(3)

sbtracting eq(1) from eq(2)
$2x-2y=2$
$x-y=1$ ...............eq(4)

solving eq(3) and eq(4) we get

$y=2$

$x=3$