To graph the system we need to find two points for each equation. To do this we give values to x and then find the corresponding values for y.
Equation y=2x+3:
If x=0 then y=3. Hence we have the point (0,3)
If x=1 theny=5. Hence we have the point (1,5)
Now we plot the points in the plane and join them with a line:
Equation y=x-1:
If x=0 then y=-1. Hence we have the point (0,-1)
If x=1 theny=0. Hence we have the point (1,0)
Now we plot the points in the plane and join them with a line:
Now, the solution of the system is the point where the lines intersect. From the graph we notice that this point is (-4,-5)
Therefore the solution is x=-4 and y=-5.
