Respuesta :
The solution of system of equation is the set of values which satisfy all the equation.
The given system of three linear equations in three variables is consistent and dependent has infinite many solutions.
What is solution of system of equation?
The solution of system of equation is the set of values which satisfy all the equation.
There is total 3 types of solution of system for linear equation.
- 1) One solution- The system for linear equation has one solution when the two lines or graph intersect only one time. Such system is known as consistent and independent system.
- 2) No solution- A system for linear equation has no solution when the graph does not intersect. The parallel lines never intersect each other. Thus the parallel lines has no solution. Such system is known as inconsistent system.
- 3) Infinite many solution- A system for linear equation has infinite many solution when the graph has exact same line. Such system is known as consistent and dependent system.
Hence the given system of three linear equations in three variables is consistent and dependent has infinite many solutions.
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