SOLUTION: Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

Question 689901: Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain your answer to someone who has not learned algebra?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
and

if you assign a number to and solve both equation for you will need to get same value for IF they have same solution
let's check it:
let's
...solve for

and

since , the two equations do have the same solution; it means these lines are parallel and do not intersect
check it on a graph

you also can come to same conclusion this way:
first write both of them in form like this:
..=>...=>... or
and
..=>...=>... or
as you can see both lines have same slope and, by definition, the lines with same slope are
if the lines , they have no intersection point, and they have no same solution

RELATED QUESTIONS
Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain... (answered by Alan3354)

Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain... (answered by fcabanski)

Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain... (answered by richwmiller,KMST)

� Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might... (answered by solver91311)

Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How might you explain... (answered by Alan3354)

do the equations x=4y+1 and x=4y-1 have the same solution. How might you explain your... (answered by lynnlo)

Do the equations x = 5y + 3 and x = 5y � 3 have the same solution? How might you explain... (answered by solver91311,jim_thompson5910)

Do the equations x = 4y + 1 and x = 4y � 1 have the same solution? How can I explain... (answered by tommyt3rd)

Do the equations x=4y+1 and x=4y-1 have the same solution? (answered by edjones,Tipporules,richard1234)