Which of the following pairs of linear equations are consistent/inconsistent? If consistent,obtain the solution graphically:
$x+y=5, \quad 2x+2y=10$

(N/A) Given equations:
$x+y=5$
$2x+2y=10$
Comparing with $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$:
$\frac{a_1}{a_2} = \frac{1}{2}, \quad \frac{b_1}{b_2} = \frac{1}{2}, \quad \frac{c_1}{c_2} = \frac{-5}{-10} = \frac{1}{2}$
Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$,these linear equations represent coincident lines and thus have infinitely many solutions. Hence,the pair of linear equations is consistent.
For $x+y=5$,we have $x = 5-y$:

$x$	$4$	$3$	$2$
$y$	$1$	$2$	$3$

For $2x+2y=10$,we have $x = \frac{10-2y}{2} = 5-y$:

$x$	$4$	$3$	$2$
$y$	$1$	$2$	$3$

From the graph,it can be observed that these lines overlap each other. Therefore,infinitely many solutions are possible for the given pair of equations.