Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `y = x – 4` and `y = –9x + 6`?

Answer 1

x=1, y= -3

Explanation:

Graph the two equations as shown in the figure given below. The two lines intersect at the point (1, -3). Hence the solution is x= 1, y= -3. The system is consistent because the two lines intersect. It would have been inconsistent, if the lines were parallel.