# How do you solve for x in #y = (1+4x)/(7-9x)#?

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To solve for ( x ) in the equation ( y = \frac{{1+4x}}{{7-9x}} ), we can follow these steps:

- Cross multiply to eliminate the denominator: ( y(7-9x) = 1 + 4x ).
- Expand and simplify the equation: ( 7y - 9xy = 1 + 4x ).
- Rearrange terms to isolate the variable ( x ): ( 9xy + 4x = 7y - 1 ).
- Factor out ( x ) from the terms: ( x(9y + 4) = 7y - 1 ).
- Divide both sides by ( 9y + 4 ) to solve for ( x ): ( x = \frac{{7y - 1}}{{9y + 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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