Question

Ashley solved the equation for m using the following steps. -4. 5 m = 17 -4. 5 -4. 5 m = 12. 5 What was Ashley’s error? Ashley should have subtracted 17 to both sides. Ashley should have added 4. 5 to both sides. Ashley should have added 17 to both sides. Ashley’s work does not have an error.

Answer 1

Error is the mistake done during some process, which was expected to go some different way. Ashley should have added 4.5 on both sides.

How to find the value of an unknown variable in an equation?

Sometimes its not possible at all. But sometimes, if its possible, we can try arranging the terms in a way that the variable is left on one side and all the constant terms are on the other side of that equation. That will help us get the value of variables for which the given equation holds true.

For the given condition, Ashley had the equation:

$-4.5 + m = 17$

For solving it, Ashley subtracted 4.5 more. So he got

$-4.5 + m = 17\\-4.5 \text{ \:\:\:\: \:\:} = -4.5$

But, he had to add 4.5 so that m would be left alone on left side and constant values would come on right side of the equation.

$-4.5 + m = 17\\4.5 \text{ \:\:\:\: \:\:} = 4.5\\ m = 21.5$

Thus,

Ashley should have added 4.5 on both sides.

Learn more about solving equations here:

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