How do you solve the rational equation #2/ (5x-1) - 2/(3x+5) = 0#?

Question

Nathan Axel · Accepted Answer

Put on an equal denominator

The Least Common Denominator would be #(5x - 1)(3x + 5)# #(2(3x + 5))/((5x - 1)(3x + 5)) - (2(5x - 1))/((3x + 5)(5x - 1)) = 0# Eliminating the denominators 6x + 10 - (10x - 2) = 0 -4x = -8 x = 2 Hopefully this helps!

Genesis Allen · Answer

undefined To solve the rational equation 2/(5x-1) - 2/(3x+5) = 0, you can follow these steps:

1. Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is (5x-1)(3x+5).

2. Multiply each term by the common denominator to eliminate the fractions. This gives you: 2(3x+5) - 2(5x-1) = 0.

3. Simplify the equation by distributing and combining like terms: 6x + 10 - 10x + 2 = 0.

4. Combine like terms: -4x + 12 = 0.

5. Move the constant term to the other side of the equation: -4x = -12.

6. Divide both sides of the equation by -4 to solve for x: x = 3.

Therefore, the solution to the rational equation 2/(5x-1) - 2/(3x+5) = 0 is x = 3.