SOLUTION: I hope this is the right place. Can you help? Here are the problem:s Question # 1: Identify the system as consistent or inconsistent, and dependent or independent. 3x - 9y=

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Question 704695: I hope this is the right place. Can you help? Here are the problem:s
Question # 1:
Identify the system as consistent or inconsistent, and dependent or independent.
3x - 9y=6
y=1/3x - 2/3

Question # 2:
A chemist has prepared two acid solutions, one which is 6% acid by volume and the other which is 10% acid. How many cubic centimeters of each should the chemist mix together to obtain 50 cm3 of 7.28% acid solution?
Question #3. Solve using any appropriate method. 0.1x + 0.5y=2
0.5x - 0.1y=1
If the system has an infinate number of solutions, use set builder notations to write th esolution set. If the system has no solution, state this.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Question #2, the acid mixture:
x and y, the volume of low and high concentration acids
Solve this system:
x%2By=50
%28x%2A0.06%2By%2A0.10%29%2F50=0.0728

The rational one rearranges to 6x+10y=50*7.28, then 6x+10y=364, then 3x+5y=182
So an easier but equivalent system to solve is
x%2By=50
3x%2B5y=182

You might continue by taking the x+y=50 and multiply both sides by 3, and subtracting the equation from the "182" equation, and find a value for y.
3x+5y=182
-(3x+3y)=-(150)
________________
0+2y=32
y=16.
highlight%28y=16%29 cubic centimeter for the 10% acid, so....