Question

. To draw the graph of 3x + 2y= 11 find y when x=1 *​

Answer 1

Step-by-step explanation:

here is your anwer ,-y=4

Answer 2

$\large\underline{\sf{Solution-}}$

Given Linear equation is

$\rm :\longmapsto\:3x + 2y = 11$

can be rewritten as

$\rm :\longmapsto\:2y = 11 - 3x$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:2y = 11 - 3 \times 0$

$\rm :\longmapsto\:2y = 11 - 0$

$\rm :\longmapsto\:2y = 11$

$\bf\implies \:\boxed{ \tt{ \: y = 5.5 \: }}$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:2y = 11 - 3 \times 2$

$\rm :\longmapsto\:2y = 11 - 6$

$\rm :\longmapsto\:2y = 5$

$\bf\implies \:\boxed{ \tt{ \: y = 2.5 \: }}$

Substituting 'x = 3' in the given equation, we get

$\rm :\longmapsto\:2y = 11 - 3 \times 3$

$\rm :\longmapsto\:2y = 11 - 9$

$\rm :\longmapsto\:2y = 2$

$\bf\implies \:\boxed{ \tt{ \: y =1 \: }}$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 5.5 \\ \\ \sf 2 & \sf 2.5 \\ \\ \sf 3 & \sf 1 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points

➢ See the attachment graph.

Now, from graph we concluded that,

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 1 & \sf 4 \\ \\ \end{array}} \\ \end{gathered}$