Question

Make x the subject of these equations. Thank you! ^^

(1) y=x/(x-2)

(2) y=(x+4)/(x-9)

(3) y=(a-5x)/(bx+8)

(4) y=(6x-8)/(3x-13)

(5) w/6+5/x=8

Answer 1

`y = (x)/(x - 2) \\ y(x - 2) = x \\ xy- 2y = x \\ xy - x = 2y \\ x(y - 1) = 2y \\ x = (2y)/((y - 1))`

`y = ((x + 4))/((x - 9)) \\ y(x - 9) = (x + 4) \\ xy- 9y = x + 4 \\ xy - x = 9y + 4 \\ x(y - 1) = 9y + 4 \\ x = (9y + 4)/((y - 1))`

`y = ((a - 5x))/((bx + 8)) \\ y(bx + 8) = (a - 5x) \\ ybx + 8y = (a - 5x) \\ ybx + 5x = a - 8y \\ x(yb + 5) = a - 8y \\ x = ((a - 8y))/((yb + 5))`

`y = (6x - 8)/(3x - 13) \\ y(3x - 13) = 6x - 8 \\ 3xy - 13y = 6x - 8 \\ 3xy - 6x = 13y - 8 \\ x(3y - 6) = 13y - 8 \\ x = (13y - 8)/((3y - 6))`

sorry I don't know how to do the last one.