If the coefficient matrix has a pivot in each column, it means that it is shaped like this:
So, the correspondant system
will look like this:
This turn into the following system of equations:
The last equation is solvable for : we easily have
Once the value for is known, we can solve the third equation for
:
(recall that is now known)
The pattern should be clear: you can use the last equation to solve for . Once it is known, the third equation involves the only variable
. Once
Answer:
2 Cups
Step-by-step explanation:
First make 3 a fraction by throwing a one under it. Next multiple the two tops of the fractions together and then the two bottoms together:
Next we convert to a mixed number:
Finally, we simplify the fraction:
2
Answer:
Step-by-step explanation:
Total Volume of Water =
Volume drunk by James =
Volume drunk by Simon =
Volume drunk by Matthew =
Volume drunk by Gilbert =
Total Volume Drunk (i.e. The Sum) =
Volume of water Left = Total Volume of Water-Total Volume Drunk
=