How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x+y=11#, #x-y=-3#?
1 Answer
The equations are consistent with a single solution
Explanation:
Using graphing (as requested)
We can be picking arbitrary values for
Plotting these sample points on the plane and drawing a line through the points, we get a graph of the form:
We can repeat this process for
The sample solution points that I generated for this were
to generate the graph
If we combine these graphs on the same plane:
We see that the two lines intersect (and therefore are consistent)
at the coordinates