Question

2x - Y-5= 0 and
x + y -7=0
Draw a
graph to the linear equation.​

Answer 1

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

Given equation of lines are

$\rm :\longmapsto\:2x - y - 5 = 0$

and

$\rm :\longmapsto\:x + y - 7 = 0$

can be rewritten as

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

and

$\rm :\longmapsto\:x + y = 7$

Now, Consider

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

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

$\rm :\longmapsto\:2(0) - y = 5$

$\rm :\longmapsto\:0 - y = 5$

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

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

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

$\rm :\longmapsto\:2x - 0= 5$

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

$\rm :\longmapsto\:x = 2.5$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf - 5 \\ \\ \sf 2.5 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , - 5) & (2.5 , 0)

➢ See the attachment graph.

Consider Line

$\rm :\longmapsto\:x + y = 7$

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

$\rm :\longmapsto\:0 + y = 7$

$\rm :\longmapsto\:y = 7$

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

$\rm :\longmapsto\:x + 0 = 7$

$\rm :\longmapsto\:x = 7$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 7 \\ \\ \sf 7 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 7) & (7 , 0)

➢ See the attachment graph.