Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
Eighteen and
fifty-two thousandths
Step-by-step explanation:
To begin, let’s represent both numbers with letters; x for the smaller number and y for the larger one
The question states that both numbers sum up to 65. With that, we can create our first equation:
x+y = 65
You also went on to say that the smaller number multiplied by 2, is equal to the sum of the larger number and 10. Therefore
2x = y+10
We can rearrange the first equation, place it in the second equation and find our answer. So,
Rearranging equation 1, we have y=65-x. Hence:
2x = 65-x +10
3x = 75
x= 75/3 = 25
Substituting this value into equation 1, we have ‘y’ to be 40 {65–25}
Proof: 2*25 = 50 = 40+10
