<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
Answer: x= 3
Step-by-step explanation:
15x-25+2=22
15x-25=25
15x=50
x=3.333333
x=3
Answer:
-11/7
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
total number of people minus people who prefer soda, iced tea, or lemonade= people who prefer water
450-101-67-108=174
Answer:
17.89 ft
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 +16^2 = c^2
64+ 256 = c^2
320 =c^2
Taking the square root of each side
sqrt(320) = sqrt(c^2)
sqrt(64*5) = c
sqrt(64) sqrt(5) =c
8 sqrt(5) = c
17.88854382=c
17.89 ft
