Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? Justify your answer with an explanation or a graph. How might you explain your answer to someone who has not learned algebra?

Answer 1

I wouldn't try to explain it to someone who has not learned algebra. The use of variables and linear equations would be unfamiliar.

However, you can pick any point, say (1,0) on the first line and show that it does not lie on the second line.

The lines are not identical, but they have the same slope. So, they are parallel, and do not intersect.