SOLUTION: Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.

Question 829668: Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x + y = 183
x - y = 141
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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 = airplane speed 162 kph
y = wind speed 21 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 and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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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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