<PRE><B>Question 825229</B>
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x = joe speed
y = pete speed
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x = 2y
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relative speed:
s = x + 2y
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s = d / t
s = 16/(40/60)
s = (3*16)/2
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s = 24 kph
s = x + 2y
x + 2y = 24
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linear system:
x = 2y
x + 2y = 24
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put the system of linear equations into standard form
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x - 2y = 0
x + 2y = 24
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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 = joe speed = 12 kph
y = pete speed = 6 kph
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system matrix
1 -2
1 2
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inverse of system matrix
0.5 0.5
-0.25 0.25
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determinant of system matrix = 4
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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</PRE>