Solve the system by the method of your choice. x^2 + 2y^2 = 729 x + y = 27 Selec

Question

Solve the system by the method of your choice. x^2 + 2y^2 = 729 x + y = 27 Select the correct choice below and. if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an ordered pair, using integers or simplified fractions for the coordinates. Use a comma to B. There is no solution.

Explanation / Answer

Dear Student Thank you fr using Chegg !! x^2 + 2y^2 = 729 (1) x + y = 27 (2) Now squaring equation (2) we get x^2 + y^2 + 2xy = 729 (3) Comparing equation (1) & (3) we get y^2 = 2xy (y) (y -2x) = 0 => Either y = 0 or y = 2x If y = 0 x = 27 (From equation (2) If y = 2x =>Substituting in equation (2) we get 3x = 27 x = 9 => y = 18 Hence the solution set for above set of equations is (27,0) & (9,18)

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