Solve. x-6/x-9=3/x-9.
I came up with a answer of -2/3 but I don't think that is the right answer. Could someone please help?
Thanks.
When I redid this problem I got 1/4.
I got x does not = 9 so there is not a solution.
To solve the equation (x-6)/(x-9) = 3/(x-9), we will multiply both sides of the equation by (x-9) to remove the denominators. This is done in order to isolate the variable x.
Let's take a step-by-step approach:
(x-6)/(x-9) = 3/(x-9)
Multiply both sides by (x-9):
(x-9) * (x-6)/(x-9) = (x-9) * (3/(x-9))
Simplify:
(x-6) = 3
Now, we can solve for x by isolating it on one side of the equation:
x - 6 = 3
Add 6 to both sides:
x = 3 + 6
Simplify:
x = 9
Therefore, the solution to the equation (x-6)/(x-9) = 3/(x-9) is x = 9.
It seems that the answer you came up with (-2/3) is incorrect. The correct solution is x = 9.