EDGE Math 8

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Result

For each system of linear equations, do the following:

a.	Classify each as consistent and independent, consistent and dependent, or inconsistent.
b.	Determine if the system represents two lines intersecting at exactly one point, two lines that coincide, or two distinct parallel lines.
c.	Identify the number of solutions of each system.

Choose your answers.

1.	${\begin{array}{l} x - 8 y = 6 \\ \frac{1}{2} x - 4 y = 3 \end{array}$

	a.	consistent and independent consistent and dependent inconsistent Answer: consistent and dependent
	b.	two lines intersecting at exactly one point two distinct parallel lines two lines that coincide Answer: two lines that coincide
	c.	no solution exactly one solution infinite number of solutions Answer: infinite number of solutions

2.	${\begin{array}{l} x + 7 y = 9 \\ x + 7 y = 10 \end{array}$

	a.	consistent and independent consistent and dependent inconsistent Answer: inconsistent
	b.	two lines intersecting at exactly one point two distinct parallel lines two lines that coincide Answer: two distinct parallel lines
	c.	no solution exactly one solution infinite number of solutions Answer: no solution

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