Draw the graph and linear equations in two variables : $x - y = 2$
$x-y =2$ $ \Rightarrow y=x-2$
If we have $x=0,$ then $y=0-2=-2$
$x=1,$ then $y=1-2=-1$
$x=2,$ then $y=2-2=0$
$\therefore$ We get the following table :
$x$ | $0$ | $1$ | $2$ |
$y$ | $-2$ | $-1$ |
$0$ |
Plot the ordered pairs $(0,\,-2)$, $(1,\,-1)$ and $(2,\,0)$ on the graph paper. Joining these poltils, we get a line $PQ$ as shown below.
Thils the line $PQ$ is the required graph of $x-y=2$.
Write each of the following as an equation in two variables :
$(i)$ $x=-\,5$
$(ii)$ $y=2$
$(iii)$ $2x=3$
$(iv)$ $5y=2$
Draw the graph and linear equations in two variables : $3 = 2x + y$
Find two solutions for each of the following equations :
$(i)$ $4 x+3 y=12$
$(ii)$ $2 x+5 y=0$
$(iii)$ $3 y+4=0$
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $2 x+3 y=9.3 \overline{5}$
Find four different solutions of the equation $x + 2y = 6.$