Question

How do you solve for $w$ in $A = lw$?

Answer 1

Hint: Here we need to solve the given literal equation. For that, we have to isolate the term of which we want the value. To isolate the term, we will divide both sides of the literal equation by the term with which the required term is multiplied, and then we will perform certain mathematical operations to get the value.

Complete step by step solution:
Here we need to solve the given literal equation and the given literal equation is $A = lw$ and we need to find the value of $w$ here.
For that, we have to isolate the term $w$ in the literal equation.
 To isolate the term, we will divide both sides of the literal equation by the term $l$.
$ \Rightarrow \dfrac{A}{l} = \dfrac{{l \times w}}{l}$
We can write it as
$ \Rightarrow \dfrac{A}{l} = \dfrac{l}{l} \times w$
We know that $\dfrac{l}{l} = 1$
We will substitute this value here.
$ \Rightarrow \dfrac{A}{l} = 1 \times w$
We know that $1 \times w = w$
We will substitute this value here.
$ \Rightarrow \dfrac{A}{l} = w$
On rearranging the equation, we get

$ \Rightarrow w = \dfrac{A}{l}$
Hence, this is the required answer.

Note:
Here we have obtained the solution of the given literal equation i.e. we have obtained the value of $w$ here. Here literal equations are defined as the equations which consist of the letters or in other words we can define literal equations as the equations which consist of more than one variable. To solve a literal equation means to rewrite the equation so that a different variable stands alone on one side of the equals sign. We have also used various mathematical operations to solve the given algebraic equation. So we need to remember that when we multiply two negative numbers together then the resultant value will be a positive number.