SOLUTION: A local animal shelter accepts abandoned cats and dogs. They usually receive twice as many cats as dogs. They estimate that 50% of the cats and 60% of the dogs that come in need so
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Question 825444: A local animal shelter accepts abandoned cats and dogs. They usually receive twice as many cats as dogs. They estimate that 50% of the cats and 60% of the dogs that come in need some kind of medical treatment. If they treated 144 animals last year how many cats and dogs did they take in? Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x = dogs
y = cats
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y = 2x
0.6x + 0.5y = 144
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put the system of linear equations into standard form
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2x - y = 0
0.6x + 0.5y = 144
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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 = dogs = 90
y = cats = 180
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system matrix
2 -1
0.6 0.5
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inverse of system matrix
0.3125 0.625
-0.375 1.25
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determinant of system matrix = 1.6
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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:
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Solve systems of linear equations up to 4-equations 4-variables:
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