Question 631940: 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 Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 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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Both of the equations taken separately have an infinite number of solutions.
If you graph them, you get a straight line, of infinite length, and every point on the line is a solution.
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But, none of the infinite number of solutions fit both equations.
If you graph them both, you get 2 parallel lines with no intersection.
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For an algebraic approach (not graphical), since both RH sides equal y, they equal each other:
4y + 1 = 4y - 1
Subtract 4y
+1 = -1
That is termed "inconsistent."
--> no solution
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