Question

How do you \[p = 2l + 2w\] solve for \[w\]?

Answer 1

Hint:
In the given question, we have been given an equation which is solved for \[p\]. We have to evaluate another variable in the question, \[w\]. To achieve that, we first separate all the terms on one side and the \[w\] on one side. Then we just free the \[w\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.

Complete step by step answer:
The given equation is \[p = 2l + 2w\].
Shifting \[2l\] to the other side,
\[p - 2l = 2w\]
Dividing both sides by \[2\] so as to free \[w\] from any coefficient, we get,
\[\dfrac{p}{2} - \dfrac{{2l}}{2} = \dfrac{{2w}}{2}\]
\[\dfrac{p}{2} - l = w\]
or \[w = p - 2l\]

Additional Information:
The given equation is \[p = 2l + 2w\]. Let us now solve for \[l\].
\[p - 2w = 2l\]
Dividing both sides by \[2l\], we get,
\[\dfrac{p}{2} - w = l\]
or \[l = \dfrac{p}{2} - w\]

Note:
In the given question, we had been given an equation which was solved for \[p\]. We had to evaluate for another variable in the question, \[w\]. To achieve that, we first separate all the terms on one side and the \[w\] on one side. Then we just free the \[w\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.