To graph linear functions you need to find two points on each line.
First equation:
[tex]x-y=7[/tex]
Find y, when x=0:
[tex]\begin{gathered} 0-y=7 \\ -y=7 \\ \\ (-1)(-y)=(-1)(7) \\ \\ y=-7 \end{gathered}[/tex]
Point (0,-7)
Find x, when y=0:
[tex]\begin{gathered} x-0=7 \\ x=7 \end{gathered}[/tex]
Point: (7,0)
Second equation:
[tex]0.5x+y=5[/tex]
Find y, when x=0:
[tex]\begin{gathered} \text{0}.5(0)+y=5 \\ 0+y=5 \\ y=5 \end{gathered}[/tex]
Point (0,5)
Find x, when y=0:
[tex]\begin{gathered} \text{0}.5x+0=5 \\ 0.5x=5 \\ x=\frac{5}{0.5} \\ \\ x=10 \end{gathered}[/tex]
Point (10,0)
You get the next points:
Line of equation 1 passes through (0,-7) and (7,0)
Line of equation 2passes through (0,5) and (10,0)
Graph:
The solution is the point where the line cross (8,1)
