Question

Represent the following equations graphically:
$x+y=10$
$10x+y+10y+x=110$

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is B

$x+y=10$
$10x+y+10y+x=110$
$\Rightarrow 11x+11y=110$
$\Rightarrow x+y=10$
Which is same as the previous equation. Hence the two lines are coincident.
Take some values of x and the corresponding values of y to draw the line.
$\begin{array}{cccc}x& 1& 5& 8\\ y& 9& 5& 2\end{array}$
Plot (1, 9), (5, 5) and (8, 2) and join them to obtain the line.