# How do you solve rational equations #5/(3x-4)=3/(x-3)#?

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To solve the rational equation 5/(3x-4) = 3/(x-3), you can follow these steps:

- Cross-multiply to eliminate the denominators: 5(x-3) = 3(3x-4).
- Expand and simplify both sides of the equation: 5x - 15 = 9x - 12.
- Rearrange the equation by moving all the x terms to one side and the constant terms to the other side: 5x - 9x = -12 + 15.
- Combine like terms: -4x = 3.
- Divide both sides of the equation by -4 to solve for x: x = -3/4.

Therefore, the solution to the rational equation 5/(3x-4) = 3/(x-3) is x = -3/4.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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