Question

Solve the following pair of linear equations using Graphical method:

$x+y=8;x-y=2$.

Then $(x,y)$ is equal to

• A. $(5,3)$
• B. $(7,6)$
• C. $(4,1)$
• D. $(2,2)$

Answer 1

Answer: (A)

$(5,3)$

The given simultaneous equations are $x+y=8.....\left(i\right)\text{and}x-y=2.....\left(ii\right)$

From equation $\left(i\right)$

$x$	$0$	$3$	$5$	$8$
$y$	$8$	$5$	$3$	$0$

From equation $\left(ii\right)$

$x$	$0$	$2$	$4$	$5$
$y$	$-2$	$0$	$2$	$3$

Plotting $x+y=8$(blue line) and $x-y=2$(green line) in the graph, we get the point of intersection as $(5,3)$.

Hence, $(x,y)=(5,3)$ is the correct answer.