Respuesta :

To solve problems like these, we simply need to break down each part to form the equation.

We start off with "5 less than," which generally means subtraction.

-5

Next, it says "3 times a number." "Times" represents multiplication, and "a number" shows where our variable is supposed to be.

3n-5

Finally, we have "is 46." "Is" almost always means an equal sign, and 46 is the value it equals.

3n-5=46

Using the logic above, we can conclude that the equation to represent these words is 3n-5=46.

We are required to write an equation to represent the expression and find the unknown number.

The equation to represent the expression is 3x - 5 = 46 and unknown number is 17

let

the unknown number = x

  • three times a number = 3 × x

= 3x

  • five less than three times a number = 3x - 5

The equation:

five less than three times a number is forty six

3x - 5 = 46

Add 5 to both sides

3x = 46 + 5

3x = 51

divide both sides by 3

x = 51 / 3

x = 17

Therefore, equation to represent the expression is 3x - 5 = 46 and unknown number is 17

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