Solve the system by the method of your choice

Question

4x=y-8

4x-y=8

 

a.the solution set is{}

b. There are infini many solutions 

c.there is no solution

Answer 1

4x = y - 8 ⇒ y = 4x + 8

4x - y = 8 ⇒ y = 4x - 8

 

The lines have the same slope, hence are parallel, with difference y-axis intercepts.  They never intersect.