Question

What is the solution to the system of equations?

x-2y=-8
4x-8y=10

Use the substitution method to justify that the given system of equations has no solution.
What do you know about the two lines in this system of equations?

Answer 1

x-2y=-8 (1)
4x-8y=10 (2)
(1) x=2y-8
(2) 4(2y-8)-8y=10
8y-32-8y=10
0y=42
There is no solution
This two lines in this system of equations do not cross is, they are parallel