Question

When 1 is subtracted from 5 times a number and a result is divided by 3 more than twice the number we get 4/5.find the number.

Answer 1

( 5 x - 1 ) / ( 2 x + 3 ) = 4 / 5 Multiply both sides by 5

5 ( 5 x - 1 ) / ( 2 x + 3 ) = 4 Multiply both sides by ( 2 x + 3 )

5 ( 5 x - 1 ) = 4 ( 2 x + 3 )

5 x * 5 - 1 * 5 ) = 2 x * 4 + 3 * 4

25 x - 5 = 8 x + 12 Add 5 to both sides

25 x - 5 + 5 = 8 x + 12 + 5

25 x = 8 x + 17 Subtract 8 x to both sides

25 x - 8 x = 8 x + 17 - 8 x

17 x = 17 Divide both sides by 17

x = 1


Proof:

( 5 x - 1 ) / ( 2 x + 3 ) =

( 5 * 1 - 1 ) / ( 2 * 1 + 3 ) =

( 5 - 1 ) / ( 2 + 3 ) =

4 / 5

Answer 2

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Answer 3

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