Draw the graph and linear equations in two variables : $3 = 2x + y$
Draw the graph and linear equations in two variables : $3 = 2x + y$
$y=3-2x$
$\therefore $ If $x =0,$ then $y =3-2(0) \Rightarrow y =3$
If $x=1,$ then $y=3-2(1) \Rightarrow y=1$
If $x=2,$ then $y=3-(2) \Rightarrow y=-1$
$\therefore$ We get the following table :
| $x$ | $0$ | $1$ | $2$ |
| $y$ | $3$ | $1$ |
$-1$ |
Plot the ordered pairs $(0,\,3)$, $(1,\,1)$ and $(2,\,-1)$ on the graph paper. Joining these points, we get a line $CD$.
Thus, the line $CD$ is the required graph of
$3=2 x+y$
Similar Questions
Draw the graph of $x + y = 7.$
Draw the graph of $x + y = 7.$
Give the equations of two lines passing through $(2, \,14)$. How many more such lines are there, and why ?
Give the equations of two lines passing through $(2, \,14)$. How many more such lines are there, and why ?
Find the value of $k$, if $x = 2$, $y = 1$ is a solution of the equation $2x + 3y = k$.
Find the value of $k$, if $x = 2$, $y = 1$ is a solution of the equation $2x + 3y = k$.
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $2 x+3 y=9.3 \overline{5}$
Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a$, $b$ and $c$ in each case : $2 x+3 y=9.3 \overline{5}$
Give the geometric representations of $2x + 9 = 0$ as an equation
$(i)$ in one variable
$(ii)$ in two variables
Give the geometric representations of $2x + 9 = 0$ as an equation
$(i)$ in one variable
$(ii)$ in two variables