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?

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paduncan's profile pic

Posted on

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

embizze's profile pic

Posted on

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.

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