Math Problem Statement
Solve the following system of equations, if there is a single solution, answer it as an ordered pair (x, y, z), if there are infinitely many solutions, parameterize your solutions in such a way that z is your free variable.
2x - 3y - 6z = 35 -9x + 5y - z = 8 -5x + 8y - 7z = 21
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Gaussian Elimination
Formulas
Gaussian elimination matrix row operations
Theorems
Row Echelon Form
Unique and Infinite Solutions in Systems of Linear Equations
Suitable Grade Level
Grades 10-12
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