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X − 3y − 8z = −10 2x + 5y + 6z = 13 3x + 2y − 2z = 3

User Secret
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1 Answer

9 votes

Answer:

consistent; dependent; infinite

Step-by-step explanation:

Subtract the first equation from the third equation.

3x + 2y − 2z = 3

− (x − 3y − 8z = −10)

2x + 5y + 6z = 13 Subtract.

Because the resulting equation is identical to the second equation, the system is consistent and dependent with infinitely many solutions.

User Elroy
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