EDGE Math 8

Classify each system of linear equations as consistent and independent, consistent and dependent, or inconsistent. Choose your answer.

1.	${\begin{array}{l} x + y = 3 \\ 2 x + 2 y = 6 \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: consistent and dependent

2.	${\begin{array}{l} x - y = 3 \\ x + y = 5 \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: consistent and independent

3.	${\begin{array}{l} x + y = 9 \\ x + y = 10 \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: inconsistent

4.	${\begin{array}{l} - x - y = - 7 \\ y = 7 - x \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: consistent and dependent

5.	${\begin{array}{l} x + y = 3 \\ 0.5 x + 0.5 y = 1.5 \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: consistent and dependent

6.	${\begin{array}{l} x - y = 0 \\ x - 2 y = 0 \end{array}$

consistent and independent

consistent and dependent

inconsistent

Answer: consistent and independent

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