Symmetric Radical System

Solve the system of equations for $x$ and $y$ : $x + y = 7 + x y$ and $x^{2} + y^{2} = 133 - x y$ .

~10 minAnswer checked instantlysystems of equationsradicalssubstitution

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

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).