Question

Solve the following system of equations by substitution method:
$x+y=2x-y=2$

Answer 1

$x+y=2...\left(1\right)$

$x-y=2...\left(2\right)$

$x=2+y$

$\therefore 2+y+y=2$

$\therefore 2+2y=2$

$\therefore 2y=0$

$\therefore y=0$

$\therefore x=2$

$\therefore (x,y)=(2,0)$