SOLUTION: In a chemistry class, 3 liters of a 4% silver iodine solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed. I have comp

Question 828175: In a chemistry class, 3 liters of a 4% silver iodine solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed.
I have compleatly forgot how to do problems like this, so if you could run me through the process, and not just give me the answer, it would help so much.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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10x + 4*3 = 6(x + 3)
10x + 12 = 6x + 18
4x = 6
x = 6/4
x = 1.5
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answer:
x = 1.5 liters of 10%
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in general, these problems are linear systems of two or more variables.
the given problem is a linear system in 2-variables, like so:
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x = liters of 10%
y = liters of 4%
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10x + 4y = 6(x + y)
y = 3
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put the system of linear equations into standard form:
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10x + 4y = 6x + 6y
y = 3
---
4x - 2y = 0
y = 3
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = liters of 10% = 1.5
y = liters of 4% = 3
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system matrix
4 -2
0 1
---
inverse of system matrix
0.25 0.5
0 1
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determinant of system matrix = 4
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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