In 1957, Katherine provided some of the math for the 1958 document notes on space technology. She made contributions to the United States aeronautics and space programs with NASA
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F = 15%
v = 5%
0.15f + 0.05v = 0.14*10
15f + 5v = 140
3f + v = 28
f + v = 10 (total volume)
---------- Subtract
2f = 18
f = 9 liters of 15%
v = 1 liter of 5%
For this case we have the following system of equations:

We multiply the second equation by -5:

Now we add the equations:

We find the value of the variable "y":

THE solution is: (-6, -3)
Answer:
(-6, -3)