Radicals and Difference of Squares

Solve the following equations: $x + y + x - y = 4$ , $x^{2} - y^{2} = 9$ .

~10 minAnswer checked instantlyradical equationssimultaneous equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 22

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