Chapter 1.3, Problem 6WE

To determine

To solve: the equation $6-x=3$ .

Answer to Problem 6WE

  $x=3$

Explanation of Solution

Given information: $x\in \left\{0,1,2,3,4,5\right\}$

Calculation:

Given equation is: $6-x=3$

Solve for $x=0$ , to get

  $\begin{array}{c}6-0=3\\ 6\ne 3\end{array}$

So given value is false.

Solve for $x=1$ , to get

  $\begin{array}{c}6-1=3\\ 5\ne 3\end{array}$

So given value is false.

Solve for $x=2$ , to get

  $\begin{array}{c}6-2=3\\ 4\ne 3\end{array}$

So given value is false.

Solve for $x=3$ , to get

  $\begin{array}{c}6-3=3\\ 3=3\end{array}$

So given value is true.

Solve for $x=4$ , to get

  $\begin{array}{c}6-4=3\\ 2\ne 3\end{array}$

So given value is false.

Solve for $x=5$ , to get

  $\begin{array}{c}6-5=3\\ 1\ne 3\end{array}$

So given value is true.

Therefore, for given equation, the solution is $x=3$ .