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How do you solve #w+3=w+6#?

Answer 1

Avery Alexander

There is no solution to this equation. The solution set is empty, as no value of #w# can make it true.

Treating this as you would normally collect like terms leads you quickly to the equation.

#w-w=6-3#

#0=3#

which is untrue, of course, meaning that this specific equation has no solution.

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Answer 2

Julia Adams

To solve the equation w + 3 = w + 6:

Subtract w from both sides of the equation.
Simplify the equation by combining like terms.
Solve for w.

The solution is w = -3.

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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.