Solve for x in the diagram below.
2 answers:
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Aw yis
take the coefients and put them in rows
![\left[\begin{array}{ccc}4&5&|-7\\3&-6&|24\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%26%7C-7%5C%5C3%26-6%26%7C24%5Cend%7Barray%7D%5Cright%5D%20)
divide 2nd row by 3
![\left[\begin{array}{ccc}4&5&|-7\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%26%7C-7%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
multiply 2nd row by -4 and add to top one
![\left[\begin{array}{ccc}0&13&|-39\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2613%26%7C-39%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
divide top row by 13
![\left[\begin{array}{ccc}0&1&|-3\\1&-2&|8\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%26%7C-3%5C%5C1%26-2%26%7C8%5Cend%7Barray%7D%5Cright%5D%20)
multiply top row by 2 and add to bottom row
![\left[\begin{array}{ccc}0&1&|-3\\1&0&|2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%26%7C-3%5C%5C1%260%26%7C2%5Cend%7Barray%7D%5Cright%5D%20)
x=2
y=-3
take the coefients and put them in rows
divide 2nd row by 3
multiply 2nd row by -4 and add to top one
divide top row by 13
multiply top row by 2 and add to bottom row
x=2
y=-3
Answer:
The number of ways of selecting a combination of 8 marbles from a bag containing 20 marbles is 125970
Step-by-step explanation:
The number of selecting 8 marbles from a bag of 20 marbles
A combination gives the number of possible order or arrangement in a collection of k items selected from a set of n items
In the question, k = 8, and n = 20
Substituting the values of n and k in the above equation gives;
Therefore, the number of ways of selecting 8 marbles from a bag containing 20 marbles is given by the combination C₂₀, ₈ = 125970.