How do you solve #7 s - 2/3 - 3s - 16/6 = 2#?
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To solve the equation (7s - \frac{2}{3} - 3s - \frac{16}{6} = 2), follow these steps:
- Combine like terms: Both the (s) terms and the constant terms (fractions) can be combined.
- Combine the (s) terms: (7s - 3s = 4s).
- Simplify the fractions: (-\frac{2}{3} - \frac{16}{6}). Since (\frac{16}{6}) can be simplified to (\frac{8}{3}), the expression becomes (-\frac{2}{3} - \frac{8}{3} = -\frac{10}{3}).
This simplifies the equation to (4s - \frac{10}{3} = 2).
- Isolate the variable term: Move the constant term to the other side of the equation by adding (\frac{10}{3}) to both sides.
[4s = 2 + \frac{10}{3}]
To combine the constants, convert 2 to a fraction with a denominator of 3: (2 = \frac{6}{3}). So,
[4s = \frac{6}{3} + \frac{10}{3} = \frac{16}{3}]
- Solve for (s): Divide both sides by 4 to isolate (s).
[s = \frac{\frac{16}{3}}{4} = \frac{16}{3} \times \frac{1}{4} = \frac{16}{12} = \frac{4}{3}]
Thus, (s = \frac{4}{3}).
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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.
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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