Question

Draw the graph of the following linear equations in two variables: $2x+y=3$

Answer 1

Solution:

To draw the graph $2x+y=3$, we have to find the values which $x$ and $y$ can have, satisfying the equation.

We can check that when, $x=0.y=3$,

When,

$$\begin{gathered} x=0 \\ 2x+y=3,becomes \\ (2\times 0)+y=3 \\ 0+y=3 \\ therefore \\ y=3 \end{gathered}$$

When,

$$\begin{gathered} x=1 \\ 2x+y=3,becomes \\ (2\times 1)+y=3 \\ 2+y=3 \\ y=3-2 \\ y=1 \end{gathered}$$

therefore,$y=3,y=1$ are solutions of the given equation. So, we can use the following table to draw the graph:

$x$	$y$
$0$	$3$
$1$	$1$

Hence, the points to be plotted are $(0,3)\&(1,1)$.