I have two equations, Equation A and Equation B. When I try to solve the system, I get no solution. What can you tell me about the graphs of Equation A and Equation B? I have two more equations, Equation C and Equation D. When I solve this system, I get infinitely many solutions. What can you tell me about the graphs of Equation C and Equation D?

For the 1st one, the equations never intersect. There is only 1 case where the lines never intersect and that is when they are parallel. So the 1st one is that they are parallel. A and B are parallel when graphed.

For the 2nd one, the lines are always intersecting. This means that C and D are the same line when graphed.

see explanation

Step-by-step explanation:

The solution of equations given graphically is at the point of intersection of the 2 lines.

No solution indicates that there is no point of intersection, thus the graph of A and B are parallel lines which never intersect.

B

Infinitely many solutions indicates that the graph of C and D lie on the same line.

ok then what happened.