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zheka24 [161]
2 years ago
8

Solve the following system of equations. Show your work -3-3y=12x , -5-y=2x

Mathematics
1 answer:
tekilochka [14]2 years ago
4 0

solving simultaneously

let equation 1 be -3-3y=12x

let equation 2 be -5-y=2x

equation 2 make y subject of formula=> y=-5-2x

replace (y=-5-2x) in equation 1

-3-3(-5-2x)=12x

solve for x

x=2

replace x=2 in equation 2

y=-5-2(2)

y=-9

Therefore, x=2 y=-9

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x^a \cdot x^b = x^{(a +b)}


In our case we are multiplying exponents with the same base 8 and exponents -7 and 5. The sum of -7 and 5 is -2, so our answer is \boxed{8^{-2}}.

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Answer:

\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}

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Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

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The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

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cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

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