Write four solutions for equations : $x=4 y$
When $x=0$, $4y=0$ $\Rightarrow y=0$
$\therefore$ Solution is $(0,\,0)$.
When $x=1$, $4y=1$ $\Rightarrow y =\frac{1}{4}$
$\therefore$ Solution is $\left(1, \frac{1}{4}\right)$
When $x=4$, $4y=4$ $\Rightarrow y =\frac{4}{4}=1$
$\therefore$ Solution is $(4,\,1)$.
When $x=-4$, $4y=-4$ $\Rightarrow y =\frac{-4}{4}=-1$
$\therefore$ Solution is $(-4,\,-1)$.
Draw the graph and linear equations in two variables : $x - y = 2$
Yamini and Fatima, two students of Class $IX$ of a school, together contributed Rs. $100$ towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as Rs. $ x$ and Rs. $y$.) Draw the graph of the same.
Draw the graph and linear equations in two variables : $y=3 x$
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $x-\frac{y}{5}-10=0$
Find the value of $k$, if $x = 2$, $y = 1$ is a solution of the equation $2x + 3y = k$.