THETA DIVISION

Question 81

Systems of Equations★★★★Question Bank

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Question

Given

3x^2-5y^2=22

and

3x^2-y^2-6x=8

, solve the system for all real ordered pairs

(x,y)

that satisfy the system. What is the sum of all the real coordinates of the ordered pair solutions? That is, what is

x_1+y_1+x_2+y_2+\cdots

where each

x_k

and

y_k

corresponds to a real ordered pair solution

(x_k,y_k)

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