How do you solve #-\frac { 1} { 2} = \frac { 2} { 3} y - \frac { 4} { 7}#?
As soon as you have an EQUATION with fractions, you can get rid of the denominators immediately.
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To solve the equation -\frac { 1} { 2} = \frac { 2} { 3} y - \frac { 4} { 7}, we can follow these steps:
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Start by isolating the variable term. In this case, we have the term \frac { 2} { 3} y on one side of the equation. To isolate it, we can move the constant term \frac { 4} { 7} to the other side.
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To move \frac { 4} { 7} to the other side, we need to subtract it from both sides of the equation. This gives us:
-\frac { 1} { 2} + \frac { 4} { 7} = \frac { 2} { 3} y
- Simplify the left side of the equation by finding a common denominator for \frac { 1} { 2} and \frac { 4} { 7}. The common denominator is 14, so we have:
-\frac { 7} { 14} + \frac { 8} { 14} = \frac { 2} { 3} y
- Combine the fractions on the left side of the equation:
\frac { 1} { 14} = \frac { 2} { 3} y
- To isolate y, we need to get rid of the coefficient \frac { 2} { 3}. We can do this by multiplying both sides of the equation by the reciprocal of \frac { 2} { 3}, which is \frac { 3} { 2}:
\frac { 1} { 14} \cdot \frac { 3} { 2} = \frac { 2} { 3} y \cdot \frac { 3} { 2}
- Simplify both sides of the equation:
\frac { 3} { 28} = y
- Therefore, the solution to the equation -\frac { 1} { 2} = \frac { 2} { 3} y - \frac { 4} { 7} is y = \frac { 3} { 28}.
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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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