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shutvik [7]
3 years ago
8

Jill and Sam are racing go-karts. Jill's completed 16 laps in 12 minutes. If Sammy raced at the same rate, how many minutes did

it take her to complete 3 laps?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0
It would take 2.25 minutes to complete 3 laps because each lap takes .75 minutes.
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Solve for x & y. 30x−42y=−6 and 5x−7y=−1
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Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:

\frac{30x  - 42y}{6} = \frac{-6}{6} \\ 5x - 7y = -1

That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.

For example, x = 0 and y = \frac{1}{7} would work, but so would x = 1 and y = \frac{6}{7}
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A simplified method for dividing a polynomial by another polynomial of the first degree is synthetic division.

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