Question

find any 3 solutions of the linear equations x-2y=1, Also draw its graph

Answer 1

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

Given linear equation is

$\rm :\longmapsto\:x - 2y = 1$

can be rewritten as

$\rm :\longmapsto\:x = 1 + 2y$

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

$\rm :\longmapsto\:x = 1 + 2 \times 0$

$\rm :\longmapsto\:x = 1 + 0$

$\bf\implies \:x = 1$

Substituting 'y = 1' in the given equation, we get

$\rm :\longmapsto\:x = 1 + 2 \times 1$

$\rm :\longmapsto\:x = 1 + 2$

$\bf\implies \:x = 3$

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

$\rm :\longmapsto\:x = 1 + 2 \times 2$

$\rm :\longmapsto\:x = 1 + 4$

$\bf\implies \:x = 5$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 1 & \sf 0 \\ \\ \sf 3 & \sf 1 \\ \\ \sf 5 & \sf 2 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (1 , 0), (3 , 1) & (5 , 2)

➢ See the attachment graph.