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How do you find the missing number so that the equation #?x-11=5x-6# has no solutions?

Answer 1

Kennedy Adams

The unknown value is 5.

To have an equation which has no solutions, you need to end up with a false statement, and no variable.

If there are no variables left, it means they need to be equal on each side, so they cancel each other out.

#?x-11 = 5x-6#

#5x-11 = 5x-6" "# leads to:

#-11 = -6" " #which can also be written as:

#0 = 5" "larr# which is obviously false!

The unknown value is 5.

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Answer 2

Hazel Anglin

To find the missing number so that the equation (x - 11 = 5x - 6) has no solutions, we need to set it up such that the coefficients of (x) on both sides of the equation are the same.

In this case, we can set the coefficients equal to each other:

(1 = 5)

Since this statement is not true, the equation has no solutions. Therefore, any value of (x) will result in a contradiction. So, there is no need to find a specific missing number; the equation already has no solutions.

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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.