Question

what is the inverse of y=-3x+6/7

Answer 1

interchange x and y

then, find y

Answer 2

I see ambiguity here.
Do you mean y = (-3x+6)/7 or do you mean y=-3x + (6/7)? Please use parentheses for clarity.

Answer 3

6 over 7
as in six sevenths

Answer 4

y= (-3x+6)/7

now you switch x and y

x= (-3y+6)/7

7x = -3y+6

7x-6+=-3y

(7x-6)/-3 =y

make sense?

Answer 5

I'd suggest you start over then:

Find the inverse of y=-3x + (6/7).

Answer 6

f-1(x) = x/-3 + 18/7