Quadratic‑type relations in three variables

Solve the system
$7 y z + 3 z x = 4 x y,$
$21 y z - 3 z x = 4 x y,$
$x + 2 y + 3 z = 19.$

~9 minAnswer checked instantlyeliminationlinear combination

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. I. Ratio, Examples I, No. 22

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

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