Chapter 1.3, Problem 8WE

To determine

To solve: the equation $5x=10$ .

Answer to Problem 8WE

  $x=2$

Explanation of Solution

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

Calculation:

Given equation is: $5x=10$

Solve for $x=0$ , to get

  $\begin{array}{c}5\cdot 0=10\\ 0\ne 10\end{array}$

So given value is false.

Solve for $x=1$ , to get

  $\begin{array}{c}5\cdot 1=10\\ 5\ne 10\end{array}$

So given value is false.

Solve for $x=2$ , to get

  $\begin{array}{c}5\cdot 2=10\\ 10=10\end{array}$

So given value is true.

Solve for $x=3$ , to get

  $\begin{array}{c}5\cdot 3=10\\ 15\ne 10\end{array}$

So given value is false.

Solve for $x=4$ , to get

  $\begin{array}{c}5\cdot 2=10\\ 20\ne 10\end{array}$

So given value is false.

Solve for $x=5$ , to get

  $\begin{array}{c}5\cdot 5=10\\ 15\ne 10\end{array}$

So given value is false.

Therefore, for given equation, the solution is $x=2$ .