SOLUTION: Solve the problem by using the Gauss-Jordan method to solve a system of equations. MIXING SOLUTIONS: A 5% solution of a drug is to be mixed with some 15% solution and some 10

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Question 1089386: Solve the problem by using the Gauss-Jordan method to solve a system of equations.
MIXING SOLUTIONS:
A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to get 20 mL of 8% solution. The amount of 5% solution used must be 2 mL more than the sum of the other two solutions. How many milliliters of each solution should be used?

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
x, volume of the 5%
y, volume of the 10%
z, volume of the 15%

Converting the description into a system of equations:


Simplifying the system of equations:


Matrix to begin:

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Finished solution:

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