Question

question
solve for all values of x:
$8+\frac{x}{x-9}=\frac{9}{x-9}$
answer attempt 1 out of 2
additional solution no solution
$x=$

Explanation:

Step1: Eliminate denominator

Multiply all terms by $x-9$ (where $x
eq 9$):
$$8(x-9) + x = 9$$

Step2: Expand and simplify left side

$$8x - 72 + x = 9$$
$$9x - 72 = 9$$

Step3: Isolate variable term

Add 72 to both sides:
$$9x = 9 + 72$$
$$9x = 81$$

Step4: Solve for x

Divide by 9:
$$x = 9$$

Step5: Check domain validity

$x=9$ makes original denominator $x-9=0$, which is undefined.

Answer:

No Solution