Question

Y= x + 7y= -2x - 8Graph

Answer 1

`\begin{gathered} y=x+7 \\ y=-2x-8 \end{gathered}`

To solve this system of equations graphical method find two coordinates (x,y) for each line (each equation)

First equation:

`y=x+7`

Find the value of y when x=0

`\begin{gathered} y=0+7 \\ y=7 \end{gathered}`

First point: (0,7)

Find the value of x when y=0

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

Second point (7,0)

Second equation:

`y=-2x-8`

Find the value of y when x=0

`\begin{gathered} y=-2(0)-8 \\ y=-8 \end{gathered}`

First point (0,-8)

Fins the value of x when y=0

`\begin{gathered} 0=-2x-8 \\ 0+8=-2x \\ 8=-2x \\ (8)/(-2)=x \\ \\ -4=x \end{gathered}`

Second point (-4,0)

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To graph put the points (x,y) in the plane and link correspondig pair of points to for a line that represents each equation:

First equation in red, second equation in blue

The solution for the system is the point where the lines cross: (-5,2)