Having trouble with this prblem

Question

Solve the system by graphing both equations on the same set of axes and then reading the solution from the graph. (If there is no unique solution, enter DEPENDENT. If the system is inconsistent, enter NO SOLUTION.)

 

6x - 6y = 18

 

y = x - 3

 

(x,y)=?

Answer 1

Divide the first equation (all terms) by 6, to get x - y = 3.

 

You can manipulate the 2nd equation, to get x - y = 3 by subtracting y from each side and adding 3 to each side.

 

These two equations are the same line, when graphed.

 

SO there's no single point of intersection; instead, there are infinitely many points (one line).

 

This is considered DEPENDENT.