How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #5x-2y=20# and #-2x+y=-10#?
Consistent system of equations
Point of intersection is:
If we have an inconsistent system of equation then there is no solution. So lets have a play and see what we have got:
Rearranging these gives:
Note that both equations have the constant of -10. This constant is where they cross the y-axis. As they are both have the same value then it is a shared point. The lines cross the y-axis at
Observe that from the graph the two lines coincide at: