<PRE><B>Question 826387</B>
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x = boys
y = girls
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y/x = 2/3
x + y = 40
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put the system of linear equations into standard form:
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y = (2/3)x
x + y = 40
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( (2/3)x - y = 0 )3
x + y = 40
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2x - 3y = 0
x + y = 40
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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 = boys = 24
y = girls = 16
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system matrix
2 -3
1 1
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inverse of system matrix
0.2 0.6
-0.2 0.4
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determinant of system matrix = 5
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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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