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Need help solving systems of equations with 3 variables

Need help solving systems of equations with 3 variables-example-1

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Once you start working problems like these, it pays to get an appropriate calculator.
.. (x, y, z) ≈ (248.01, 43.63, 88.34) . . . . rounded to 2 decimal places

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The attempt to convert these to fractions with denominators less than 9999 failed.
Need help solving systems of equations with 3 variables-example-1
Need help solving systems of equations with 3 variables-example-2
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