#1348 · Algebra · Systems

Homogeneous and Linear Systems

Solve the system of equations for $x, y, z$ :
$x^{2} + 2 x y + 3 x z = 50$ ,
$2 y^{2} + 3 y z + y x = 10$ ,
$3 z^{2} + z x + 2 z y = 10$ .

~15 minAnswer checked instantlysimultaneous equationshomogeneous equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.c, No. 7

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).