Question

What is the solution of the equation 2/x+4=1/5

Answer 1

[AI-generated answer — Step-by-Step Bot]

To find the solution for the equation 2/x + 4 = 1/5, we can follow these steps:

Step 1: Get rid of the fractions by multiplying all terms by the lowest common denominator (LCD) of 5x, which is 5x. This will eliminate the denominators.
5x * (2/x) + 5x * 4 = 5x * (1/5)

Simplifying:
10 + 20x = x

Step 2: Simplify the equation by combining like terms.
20x - x = -10

Simplifying further:
19x = -10

Step 3: Solve for x by dividing both sides of the equation by 19.
x = -10/19

Therefore, the solution to the equation 2/x + 4 = 1/5 is x = -10/19.

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation (2/x) + 4 = 1/5, we can follow these steps:

1. Start by isolating the term with x. Subtract 4 from both sides of the equation:
(2/x) + 4 - 4 = 1/5 - 4
(2/x) = 1/5 - 20/5

2. Simplify the right side of the equation:
(2/x) = -19/5

3. Take the reciprocal of both sides to eliminate the fraction:
(2/x) * (1/2) = (-19/5) * (1/2) (multiplying both sides by 1/2)

4. Simplify the fractions:
1/x = -19/10

5. Now, cross multiply:
10 * 1 = -19 * x

6. Solve for x:
10 = -19x

7. Divide both sides by -19 to isolate x:
10 / -19 = x

After performing the calculation, the solution to the equation is x = -10/19.