How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #3x + y = -3# and #6x - 6y = -30#?
The system is a consistent set of equations with solution at
Since both given equations are linear
we only need 2 coordinate pairs for each to establish their lines.
(We can pick any values for one variable and solve for the other to find these points).
Here are the sample points I used:
Plotting each pair of coordinates and drawing a line through each set gives a graph:
The lines intersect at a single point and therefore are consistent.
Examining the graph, we see that the intersection point happens at