The equations x = 4y + 1 and x = 4y – 1 will not have the same solutions. Think about it...is the solution of a number plus one the same solution of that same number minus one? That's like saying 2 - 1 = 1 and 2 + 1 = 1, the latter of which is clearly not a true statement. If they had the same solutions, meaning the same quantities of y, the x values would most definitely not be the same.

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