Answer:
The solution is (-3,3)
Step-by-step explanation:
The given system is [tex]y=x+6\\y=-2x-3[/tex]
The first line is y=x+6.
When x=0, y=6 so we plot (0,6)
When y=0,x=-6 so we plot (-6,0) and draw a straight line through them.
For the second line we have y=-2x-3.
When x=0, y=-3 so we plot (0,-3)
When y=0, x=-1.5 so we plot (-1.5,0)
We draw another straight lines through these points too.
The graph of the system is shown in the attachment.
The point of intersection is (-3,3).
Hence the solution is (-3,3)
