3.1 Example 1

Let us solve for $x$ in the equation $x^2 + 2y = z$. First we need to move the term $2y$ to the right hand side. This is using the rule $a = b \rightarrow a - k = b - k$. This step results in $x^2 = z - 2y$.

Next, we apply the rule that says $a = b \rightarrow \sqrt{a} = \sqrt{b}$, which results in $x = \sqrt{z - 2y}$.