Question

Solve the equation: \[6 = z + 2\]

Answer 1

Hint: We will first consider the given equation and as we have to solve the equation for \[z\], we will first shuffle both the sides that is \[z + 2\] on the left-hand side of the equation and 6 on the right-hand side of the equation, then we will subtract 2 on both the sides of the equation and will simplify both left-hand and right-hand side of the equation which will give us the required answer.

Complete step-by-step answer:
We will first consider the given equation that is \[6 = z + 2\]
The objective is to solve the given equation for \[z\].
We will now reshuffle both the sides of the equation that is,
\[ \Rightarrow z + 2 = 6\]
Now, to simplify the equation we will subtract 2 on both the sides of the equation that is left-hand side and right-hand side of the equation.
Thus, we get,
\[ \Rightarrow z + 2 - 2 = 6 - 2\]
Now, we will further simplify the above equation to evaluate the value of \[z\].
\[ \Rightarrow z = 4\]
We can also verify the value of \[z\] by substituting the obtained value in the given expression,
Thus, we get,
\[
   \Rightarrow 6\mathop = \limits^? 4 + 2 \\
   \Rightarrow 6 = 6 \\
 \]
Thus, we can conclude that the value of \[z\] on solving the equation is 4.

Note: We can also bring 2 from the left-hand side to the right-hand side of the equation and change the sign from positive to negative after reshuffling the sides of the equation and subtract the numbers on the right-hand side of the equation which will directly give us the result. As the given equation is a linear equation of first order, so we can directly solve it for the value of \[z\].