Question

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.

3x^2 + 2y^2 = 45

2x^2 – 3y^2 = -9

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. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Express complex numbers in terms of i. use a comma to separate answers as needed.)

B: There are infinitely many solutions.

C: the solution is the empty set.

Please show work and highlight answer.

Answer 1

put in another equation

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put y=3 in first equation

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now put y=-3 in  first equation

solution are