Question

Consider the following statement. 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

4n-5 = 3n+2  thats taking the word problem and writing it out
Now solve

4n-5=3n+2
n = 7

Answer 2

n  = unknown number

5 less than 4 times a number = 4n-5

2 more than 3 times a number = 3n+2

 so you have 4n-5 = 3n +2

add 5 to both sides:

4n=3n+7

subtract 3n from both sides:

n = 7