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alexdok [17]
3 years ago
10

Solve the given system by substitution. n=5m n=2/3 m-13

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

n = -15         and          m = -3

Step-by-step explanation:

To solve the given system of equation, we will follow the steps below:

n = 5m ----------------------------------------------------------------------------(1)

n = \frac{2}{3}  m -13 ---------------------------------------------------------------------(2)

substitute for n= 5m in equation (2)

5m =  \frac{2}{3}  m -13

subtract \frac{2}{3} m from both-side of the equation

5m -  \frac{2}{3} m  = \frac{2}{3} m -  \frac{2}{3}  m -13

At the right-hand side of the equation  \frac{2}{3} m  will cancel-out leaving us with just -13

5m -  \frac{2}{3} m  = -13

\frac{15m - 2m }{3} = -13

\frac{13m}{3} = -13

multiply both-side of the equation by 3

3 ×  \frac{13m}{3} = -13 ×  3

At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m

13m = -39

Divide both-side of the equation by 13

13m/13  = -39/13

m = -3

substitute m = -3 in  equation (1)

n = 5m

n = 5 (-3)

n = -15

Therefore, n = -15         and          m = -3

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First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.

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When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582

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When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.

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