Answer with explanation:
The two linear equations,
1.⇒ y = ax + b
And,2.⇒ y= a x+ c
As well as,3.⇒ 2 y = 2 a x + 2 b or ,⇒ k y= k a x + k b
All the three lines has same slope.
⇒Line 1 and 2 are parallel lines due to different y intercepts, and Line 2 and Line 3 has also same slope but they are coincident.
⇒⇒So,yes when lines are Parallel that is they have same slope has no Solution, but lines which are Coincident having same Slope has infinite number of Solutions.
⇒Incorrect Statement
The graph of a system of equations with the same slope will have no solutions
