A Family of Solutions
A Family of Solutions
IB Year 5 | Grade 11
5 marks
TGM Original
Consider the system x+2y-z=4, 2x+5y+z=11, 3x+7y=15. Explain why it has infinitely many solutions, and express every solution using one real parameter.
Solution:
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Answer:\((x,y,z)=(-2+7t,3-3t,t)\), \(t\in\mathbb R\).
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