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3.4 Solve Systems of Linear Equations in Three Variable 3 Variables: • X • Y • Z ax + by + cz = d Solution to a 3 Variable Equation: • Ordered Triple: • (x,y,z) • If the three equations do not share the same common point then there is no solution. • If the three equations have the same line then there is infinitely many solutions. Example: • (EX 1) 4x + 2y + 3z = 1 2x – 3y + 5z = -14 6x – y + 4z = -1 Page 180 • 1-3