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Does a multi-step equation sometimes, always, or never have a solution?

Answer 1

Eli Assouline

Sometimes

Examples:

#4x+1 = 2x+3" "# has solution #x=1#.

#4x+1 = 4(x+1)" "# has no solution.

#4x+4 = 4(x+1)" "# has infinitely many solutions.

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Answer 2

Isaiah Anthony

A multi-step equation can sometimes have a solution, sometimes have infinitely many solutions, or sometimes have no solution, depending on the specific equation and its coefficients. Therefore, it is not accurate to say that a multi-step equation always or never has a solution. The presence or absence of a solution depends on the specific conditions of the equation and the values of its variables.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.