Question

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`?

Answer 1

1 equation with 2 unknowns isn't solvable.

Explanation:

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]}