Answer:
x = -1/5
Step-by-step explanation:
Let's solve for x in the equation given:
1/x = 6/5x +1
Lowest Common Denominator = 5x
5 = 6 + 5x
5 - 6 = 5x
-1 = 5x
x = -1/5
Let's prove x = -1/5 is correct
1/ -1/5 = 6/5 * -1/5 + 1
1/1 * -5/1 = 6/-1 + 1
-5 = - 6 + 1
- 5 = - 5
We proved that x = -1/5 is correct