Final answer:
To solve the rational equation, we need to find the least common multiple (LCM) of the denominators and eliminate them. The solution to the equation is 0.
Step-by-step explanation:
To solve the rational equation x/5 + 3x/7 = x/35, we need to eliminate the denominators by finding the least common multiple (LCM) of 5, 7, and 35. The LCM is 35.
Multiplying each term by 35, we get 7x + 15x = x.
Simplifying, we have 22x = x. Subtracting x from both sides, we get 21x = 0. Dividing both sides by 21, we find that x = 0. Therefore, the solution is {0}.
Learn more about Solving rational equations