Question

F(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x

Answer 1

x = - 25 , x = 84

Explanation:

Given f(x) = -
`(3)/(5)` x - 17 and f(x) = - 2 , then equate right sides

-
`(3)/(5)` x - 17 = - 2 ( add 17 to both sides )

-
`(3)/(5)` x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

---------------------------------------------------------

Similarly equate right sides

- 11 -
`(1)/(6)` x = - 25 ( add 11 to both sides )

-
`(1)/(6)` x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x = 84