Question

Solve the following simultaneous equations using graphical method
$x+y=6$
$x-y=2$

Answer 1

$x+y=6$
$\therefore y=6-x$

$x$	$0$	$1$	$2$
$y$	$6$	$5$	$4$
$(x,y)$	$(0,6)$	$(1,5)$	$(2,4)$

$x-y=2$
$\therefore y=x-2$

$x$	$0$	$1$	$2$
$y$	$-2$	$-1$	$0$
$(x,y)$	$(0,-2)$	$(1,-1)$	$(2,0)$

From the graph it is clear that $(x,y)=(4,2)$ is the solution of the given pair of equations.