# How do you use cross products to solve #2/t=5/(t-6)#?

Cross multiply the numerator by the denominator as in:

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Substitute this value into the equation and if both sides are equal then it is the solution.

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To solve the equation 2/t = 5/(t-6) using cross products, first cross multiply to get 2(t-6) = 5t. Expand and simplify the equation to get 2t - 12 = 5t. Rearrange terms to isolate t, resulting in -12 = 3t. Divide both sides by 3 to find t = -4.

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To solve ( \frac{2}{t} = \frac{5}{t-6} ) using cross multiplication:

[ 2(t - 6) = 5t ]

[ 2t - 12 = 5t ]

[ 2t - 5t = 12 ]

[ -3t = 12 ]

[ t = -\frac{12}{3} ]

[ t = -4 ]

Therefore, ( t = -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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