Solve the given system of equations. If the system has no solution, say that it

Question

Solve the given system of equations. If the system has no solution, say that it is inconsistent. {x - 2y + 3z = 9 2x + y + z = 3 -3x + 2y - 2z = -12 Select the correct choice below and fill in any answer boxes within your choice. A. The solution is x = y = and z = (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(xyz) | x = y = z = any real number}. (Simplify your answers. Type expressions using z as the variable as needed.) C. There are infinitely many solutions. Using ordered triplets, they can be expressed as {(x, y, z) | x = y any real number, z any real number} (Simplify your answer. Type an expression using y and z as the variables as needed.) D. The system is inconsistent.

Explanation / Answer

Solve by substitution method, we get

Correct Option is A

x = 2, y =-2 and z = 1

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