Homogeneous and Quadratic System

Solve the system of equations for $x, y, z$ : $9 x + y - 8 z = 0$ , $4 x - 8 y + 7 z = 0$ , $y z + z x + x y = 47$ .

~10 minAnswer checked instantlysystems of equationshomogeneous equationssubstitution

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.c, No. 1

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