Some absolute value equations have variables both sides of the equation. However, that will not change the steps we're going to follow to solve the problem as the example below shows:
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Since there’s no value of x x that can satisfy the equation, we say that it has no solution. In fact, the following absolute value equations don’t have solutions as
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2 = 5 [subtract x 2 from both sides] Since 2 = 5 is always false, we know that this equation has no solution. No matter which value of x we choose, the original equation will never be true. You
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Sometimes absolute value equations don't have a solution. This usually happens when the absolute value equals a negative number. For example: |x|=−3. No matter what value you put in for x you will never get −3 as an answer.
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