Chapter 1.3, Problem 3OE

To determine

To solve: the equation $2x=6$

Answer to Problem 3OE

  $x=3$

Explanation of Solution

Given information: $x\in \left\{0,1,2,3,4,5,6\right\}$ .

Calculation:

Given equation is: $2x=6$ .

Solve for $x=0$ , to get

  $2\cdot 0=0\ne 6$

So given value is false.

Solve for $x=1$ , to get

  $2\cdot 1=2\ne 6$

So given value is false.

Solve for $x=2$ , to get

  $2\cdot 2=4\ne 6$

So given value is false.

Solve for $x=3$ , to get

  $2\cdot 3=6=6$

So given value is true.

Solve for $x=4$ , to get

  $2\cdot 4=8\ne 6$

So given value is false.

Solve for $x=5$ , to get

  $2\cdot 5=10\ne 6$

So given value is false.

Solve for $x=6$ , to get

  $2\cdot 6=12\ne 6$

So given value is false.

Therefore, the only solution is $x=3$ .