Let's conside the first equation x+y=8
Since it is an equation with degree 1, it is a straight line. So 2 coordinates are enough to plot a graph.
To plot a grpah, let's take, x=0,1
If x=0
[tex]\begin{gathered} x+y=8 \\ 0+y=8 \\ y=8 \end{gathered}[/tex]
So, the coordinate is (0,8)
If x=1
[tex]\begin{gathered} 1+y=8 \\ y=8-1 \\ y=7 \end{gathered}[/tex]
So, the coordinated is (1,7)
Let's plot the graph.
Let's take the second equation
6x+3y=36
If x=0
[tex]\begin{gathered} 6x+3y=36 \\ 0+3(y)=36 \\ y=\frac{36}{3} \\ y=9 \end{gathered}[/tex]
Hence the y coordinated is (0,9)
If x=1
[tex]\begin{gathered} 6x+3y=36 \\ 6(1)+3y=36 \\ 3y=36-6 \\ y=\frac{30}{10} \\ y=10 \end{gathered}[/tex]
Hence the coordinate is (1,10)
Let's plot the graph
Hence both the graphs are plotted.
