How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #y = 3x + 2# and #3y = 9x + 6#?

1 Answer
May 14, 2016


1 equation with 2 unknowns isn't solvable.


The second equation simplifies to the same as the first equation by dividing both sides by #3#, therefore, we only have one equation

#y = 3x+2#

1 equation with 2 unknowns does not have a single point solution. In fact the solution is any #(x,y)# point on the co-incident lines. Graphing this confirms our suspicion, as all points lie on top of each other.

graph{3x+2 [-5, 5, -2.5, 2.5]}