Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
The right answer is 5) solve for W
Answer:
1.The ratio of dogs to cats is 3 to 4
2. For every 3 dogs there are 4 cats.
Step-by-step explanation:
Answer:
The length of a pen.
Step-by-step explanation:
A length of a pen is around three inches and is reasonable but all of the others are way too big and can be measured in feet or miles.
let the price of pizza and soda( per 2 litre bottle) be x and y
from 1st condition
12x+2y=137.6.....(1)
from 2nd condition
x+y =11.95.......(2)
multiply eq. (2) by 2
2x+2y=23.9.....(3)
subtracting (1) and (3)
12x+2y=137.6
2x+2y= 23.9
10x = 113.7
x=113.7/10
x=11.37
2(11.37)+2y=23.9
22.74+2y=23.9
2y=23.9-22.7
2y=1.2
y=0.6
So the prices of the pizza and soda are 11.37 and 0.6 dollars.