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Mixed Degree Systems

Question 3 • MO-Algebra II A

Consider the following system of equations:10 + y = 5x + x25x + y = 1The first equation is an equation of a .

Answer
A
line
B
parabola
C
circle

Explanation

Rearrange the first equation, 10 + y = 5x + x², to get y = x² + 5x − 10. Since it includes an x² term and y is expressed as a quadratic function of x, its graph is a parabola, not a line or circle.

AI-written and checked against the verified answer.

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