How can you solve the system of nonlinear equations using the method of substitution or elimination: x^2 + y^2 = 25 and xy = 12?
Answer 1
Andrew Jackson
To solve the system of nonlinear equations x^2 + y^2 = 25 and xy = 12, use substitution. Express y in terms of x from xy = 12 (y = 12/x). Substitute y in x^2 + y^2 = 25 to get x^2 + (12/x)^2 = 25. Solve this equation to find x, then use it to find y.
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