To graph each line we need two points of each of them. To find them we give values to the variable x.
Equation y=-2/5x-2:
If x=0 then y=-2, then we have the point (0,-2).
If x=-5 then y= 0, then we have the point (-5,0).
Now we plot this point and join them with a line:
Equation y=-x-5:
If x=0 then y=-5, then we have the point (0,-5).
If x=-5 then y= 0, then we have the point (-5,0).
Now we plot this point and join them with a line:
The solution of the system is where the lines intersect. Therefore the solution is the point (-5,0).
