Draw the graph and linear equations in two variables : $y=3 x$
$y=3x$
If $x=0,$ then $y=3(0) \Rightarrow y=0$
$x=1,$ then $y=3(1) \Rightarrow y=3$
$x=-1,$ then $y=3(-1) \Rightarrow y=-3$
$\therefore$ We get the following table :
$x$ | $0$ | $1$ | $-1$ |
$y$ | $0$ | $3$ |
$-3$ |
Plot the ordered pairs $(0,\,0)$, $(1,\,3)$ and $(-1,\,-3)$ on the graph paper. Joining these poltils, we get the straight line $LM$.
Thus, the line $LM$ is the required graph of $y=3x$.
Find the value of $k$, if $x = 2$, $y = 1$ is a solution of the equation $2x + 3y = k$.
Draw the graph of $x + y = 7.$
Check the solutions of the equation $x -2y = 4$ and which are not : $(4,\,0)$
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.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $x-\frac{y}{5}-10=0$