To solve rational equations, we need to multiply it by the LCD. In the given problem, the LCD is x.
Then, bring together the terms with x on one side of the equation. So, subtract both sides by x.
And, to get x only at the right side of the equation, divide both sides by -6.
Hence, the solution to the given equation is `x=-2/3` .
(For problem #2, please post it as separate question in Homework Help.)
`8/[(x-9)(x-1)]-1/(x-1)= 1/[4(x - 9)]`
moltiplyng bot sides: `4(x -9)(x-1)` we get:
`32-4(x - 9)=x -1`
`32- 4x-36= x-1`
`-4x - 4= x -1`
adding 4x both sides:
adding 1 both sides:
`-4 +1= 5x -1 +1`
Mdividing both sides by 5:
that shows the solution: