Answer: x=9
Step-by-step explanation:
To solve the proportion 3/x=1/x−6, you can cross-multiply to eliminate the denominators:
3×(x−6)=1×x
Now, distribute on the left side:
3x−18=x
Next, subtract x from both sides:
2x−18=0
Add 18 to both sides:
2x=18
Divide by 2:
x=9
So, the solution to the proportion is x=9.
