One less than four times the quotient of a number and 9 is equal to 8 less than three times the number

Question

write the expression

Answer 1

 

 

4(X/9) - 1 = 3x-8

 

(4/9)X - 1 = 3x - 8

 

4x - 9 = 27x - 72

 

63 = 23x

 

x = 63/23

 

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63/23 divided by 9 = 7/23

 

4(7/23) = 28/23

 

28/23 - 1 = 28/23 - 23/23 = 5/23

 

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3(63/23) = 189/23

 

189/23 - 8/1 = 189/23 - 184/23

 

                    = 5/23

 

It is 63/23