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There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
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No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.