Q
QuestionMathematics

Choose the solution(2$) of the following system of equations: x^2 +y^2 = 6 x^2 -y = 6 A. No solution B. Infinitely many solutions (Note: The options originally referring to images such as "mr^001 - 1.jpg" have been omitted for clarity, as images are not provided.)
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Answer

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Step 1
Let's solve this systematically:

Step 2
: Rearrange the second equation to express y in terms of x

From $$x^{2} - y = 6$$, we can derive:
y = x^{2} - 6

Final Answer

Infinitely many solutions The key insight is that the system has multiple solution pairs that satisfy both equations, making it an infinite solution system.