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3 years ago

12

How do I solve the problem you buy 3 t-shirts and 2 pairs of shorts for 42.50. Your friend buys 5 t-shirt and 3 pairs of shorts

for 67.50. Use a system of linear equations to find the cost of each t-shirt.

1 answer:

tensa zangetsu [6.8K]3 years ago

3 0

8 t-shirts and 5 pairs of shorts would be $110 all together each t-shirt would be i dont know

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How do you do this. Please give a full answer and explain why.

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<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

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Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

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$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

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If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

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