Question

Solve the equation: \[x - 2 = 7\]

Answer 1

Hint: We will first consider the given equation and as we have to solve the equation for \[x\], we will add 2 on both the sides of the equation and then 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 \[x - 2 = 7\]
The objective is to solve the given equation for \[x\].
Now, to simplify the equation we will add 2 on both the sides of the equation that is the left-hand side and right-hand side of the equation.
Thus, we get,
\[ \Rightarrow x - 2 + 2 = 7 + 2\]
Now, we will further simplify the above equation to evaluate the value of \[x\].
\[ \Rightarrow x = 9\]
We can also verify the value of \[y\] by substituting the obtained value in the given expression,
Thus, we get,
\[
   \Rightarrow 9 - 2\mathop = \limits7 \\
   \Rightarrow 7 = 7 \\
 \]
Thus, we can conclude that the value of \[x\] on solving the equation is 9.

Note: We can also take 2 from the left-hand side to the right-hand side of the equation and change the sign from negative to positive and add the numbers which work as an alternative method. As the given equation is a linear equation of first order, so we can directly solve it for the value of \[x\].