SOLUTION: A boat can travel 15 km/h against the current. The same boat can travel 26 km/h with the current. Find the rate of the boat in still water and the rate of the current.

Question 825436: A boat can travel 15 km/h against the current. The same boat can travel 26 km/h with the current. Find the rate of the boat in still water and the rate of the current.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = boat speed
y = current speed
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x - y = 15
x + y = 26
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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 = boat speed = 20.5 kph
y = current speed = 5.5 kph
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system matrix
1 -1
1 1
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inverse of system matrix
0.5 0.5
-0.5 0.5
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determinant of system matrix = 2
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Solve systems of linear equations up to 4-equations 4-variables:
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