Question

PLEASE HELP!!!

Answer 1

The whole number values of $a$ are $\boxed{{\mathbf{1,2,3 and 6}}}$ that satisfies the given equation $ax = 6$.

Further explanation:  

The whole numbers are the numbers that is easily countable and successors can be defined and it starts from 0.

The set of whole number can be expressed as,

$0,1,2,3,4,5 \ldots$  

The set of whole number is the subset of the set of real numbers.

Given:

The given equation is $ax = 6$.

Step by step explanation:

Step 1:

Divide the given equation $ax = 6$.

$\dfrac{{ax}}{a} = \dfrac{6}{a}$  

Step 2:

Now cancel out the common factors from the left side of the equation.

$x = \dfrac{6}{a}$  

It can be seen that the number $a$ is divisible by 6.

Step 3:

The factor of 6 will divide exactly without leaving any remainder to obtain the whole number.

Now find the whole numbers that is divisible by 6 to obtain the value of $a$.    

$1,2,3{\text{ and }}6$

Therefore, the whole number values of $a$ are $1,2,3{\text{ and }}6$ that satisfies the given equation $ax = 6$.

Learn more:  

1. Learn more about the function is graphed below brainly.com/question/9590016  
2. Learn more about the symmetry for a function brainly.com/question/1286775
3. Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: Whole number, solution, equation, divide, common number, factors, divisible, remainder, set, divide, multiply, fraction, left hand side, common

Answer 2

ANSWER

$a = 1,2,3,6$

EXPLANATION

The given equation is

$ax = 6$

Divide both sides by $a$

$\Rightarrow \: \frac{ax}{a} = \frac{6}{a}$

Cancel out common factors on the left hand side,

$\Rightarrow \: x = \frac{6}{a}$

For this solution to be a whole number, then$a$ should be a factor of
$6$.

The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.

The whole numbers that are factors of 6 are,

$1,2,3 \: and \: 6$

Note that, the set of whole numbers are,

{$0,1,2,3,4,...$}