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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.

Respuesta :

AJ135
a. 
[tex]4n-5 = 3n+2[/tex]

b and c.
add 5 to both sides:
[tex]4n = 3n+7[/tex]
subtract 3n from both sides:
[tex]n = 7[/tex]
penfila11Pen
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
( + , - , × , ÷ )

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