Question

The given equation is either linear or equivalent to a linear equation. Solve the equation.

$\frac{1}{2}x-8=1$

Short answer

The solution of linear equation is$x=18$

Step-by-step solution

Step 1. Solving a linear equation.

We solve a linear equation by changing it to an equivalent equation with all terms that have the variable x on one side and all constant terms on the other.

Step 2. Analyze the given expression.

Given

$\frac{1}{2}x-8=1$

Step 3. Solve.

$\begin{array}{l}\frac{1}{2}x-8=1\\ \Rightarrow \frac{1}{2}x=1+\mathrm{8.........}\left[\text{add8}\right]\\ \Rightarrow \frac{1}{2}x=9\\ \Rightarrow x=9\cdot \mathrm{2...............}\left[\text{multiplyby2}\right]\\ \Rightarrow x=18\end{array}$

So, the solution of given equation is $x=18$