Question

Please show me the steps I need to take to get the solution. Thanks!

Answer 1

To graph linear functions you need to find two points on each line.

First equation:

`x-y=7`

Find y, when x=0:

`\begin{gathered} 0-y=7 \\ -y=7 \\ \\ (-1)(-y)=(-1)(7) \\ \\ y=-7 \end{gathered}`

Point (0,-7)

Find x, when y=0:

`\begin{gathered} x-0=7 \\ x=7 \end{gathered}`

Point: (7,0)

Second equation:

`0.5x+y=5`

Find y, when x=0:

`\begin{gathered} \text{0}.5(0)+y=5 \\ 0+y=5 \\ y=5 \end{gathered}`

Point (0,5)

Find x, when y=0:

`\begin{gathered} \text{0}.5x+0=5 \\ 0.5x=5 \\ x=(5)/(0.5) \\ \\ x=10 \end{gathered}`

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)