Question

Draw the Graph of the following Linear Equation in Two Variables :
(i) $3 = 2x + y$
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[Graph ; Explanation - Mandatory]
$\mathfrak {\red {Topic} - Class\: 9 - Linear\: Equations\: in\: Two\: Variables}$
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Answer 1

Step-by-step explanation:

firstly put this equation in y=mx+c form

where m=slope and c= intercept

so it becomes y=-2x+3

Now

put x=0

we get y =3

(0,3)

also put y=0

we get x=1.5.

(1.5,0)

Now connect these two points and extend them both ways.

Guess what? we did it.

you got your answer.

#graph in pic

Answer 2

Solution :-

We have :

$3 = 2x + y \implies \bold {y = -2x + 3}$ ... (i)

Putting x = 0 in (i), we get $\bold y = (-2 \times 0 + 3) = \bold 3$

Putting x = 1 in (i), we get $\bold y = (-2 \times 1 + 3) = \bold 1$

Putting x = -1 in (i), we get $\bold y = (-2 \times -1 + 3) = \bold 5$

Putting x = -2 in (i), we get $\bold y = (-2 \times -2 + 3) = \bold 7$

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Thus, we have the Following Table :

$\begin {tabular}{c | 1 | 1 | 1 | 1}\cline {1 - 5} x & 0 & 1 & -1 & -2\\\cline {1 - 5} y & 3 & 1 & 5 & 7 \\\cline { 1 - 5} \end {tabular}$

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Graph is Shown with the Attachments . . .