Question

The product of a number and 2 is 3 less than the quotient of a number and 5 .

Answer 1

Answer:

The sentence you have can be expressed in algebra (using x as 'the number'):

2x + 5 = x / 3.  (We add 5 to the left side because that product is less than the right side.)

Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.

or

Let the unknown number that we are solving for be x.

The product of a number and 2  means 2*x

5 less than the quotient of a number and 3 means x/3 - 5.

So,

 2*x = x/3 - 5   subtract x/3 from both sides of the equation

2x - x/3 = -5 , now find the least common denominator for the left side of the equation

6x/3 - x/3 = -5

(6x - x)/3 = -5

5x/3       = -5, now multiply both sides of the equation by 3

5x          = -15  now divide both sides of the equation by 5

x = - 3. So the number is -3.

Step-by-step explanation:

Answer 2

Building an equation and solving for the number, it is found that the number is $x = -\frac{3}{2}$

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• The number can be called x.
• Product of a number and 2 is $2x$
• 3 less than the quotient of a number and 5 is: $\frac{x}{5} - 3$

Equal, thus:

$2x = \frac{x}{5} - 3$

Multiplying everything by 5:

$10x = x - 15$

$9x = -15$

$x = -\frac{15}{9}$

$x = -\frac{3}{2}$

A similar problem is given at https://brainly.com/question/1755985