Homework Help

Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you...

user profile pic

smallsterea | Honors

Posted April 8, 2013 at 12:50 AM via web

dislike 1 like

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?

2 Answers | Add Yours

user profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted April 8, 2013 at 1:08 AM (Answer #1)

dislike 1 like

The equations x=4y+1 and x=4y-1 have no solutions in common.

Graphically, these are parallel lines and thus have no common points.

Numerically, it is clear that for any given y, 4y+1>4y-1 so the associated x-values cannot be the same.

user profile pic

paduncan | High School Teacher | (Level 1) Adjunct Educator

Posted April 9, 2013 at 2:21 AM (Answer #2)

dislike 1 like

4y is equal to 4y so if you add one to that number it cannot be equal to the number minus 1.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes