Question

Five less than 4 times a number equals 2 more than 3 times the number.

a. Write an equation to represent the statement. Use n for the unknown number.
b. Solve the equation.

c. Explain how you solved the equation.

Answer 1

Hey there :)

Let us translate the sentence into mathematics ( step by step )

five less than four times a num. equals two more than three times a num.
↓ ↓ ↓ ↓ ↓
- × = + ×

( Note we are asked to use n to represent the unknown number )

a. 4n - 5 = 2 + 3n

b. 4n - 5 = 2 + 3n
Bring like terms to one side
4n - 3n = 2 + 5
n = 7

c. By bringing like-terms to one side and performing the suitable operation
( + , - , × , ÷ )

Answer 2

a.

`4n-5 = 3n+2`

b and c.
add 5 to both sides:

`4n = 3n+7`
subtract 3n from both sides:

`n = 7`