Two lines are parallel and distinct. How many solutions does the system have?

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Two lines are parallel and distinct. How many solutions does the system have?

Explanation:
Two lines intersecting in a system correspond to points that satisfy both equations. When lines are parallel and distinct, they run side by side and never cross, so there isn’t any point that lies on both lines. Therefore, the system has no solution. If they were the same line, there would be infinitely many solutions, and if they crossed, there would be exactly one solution.

Two lines intersecting in a system correspond to points that satisfy both equations. When lines are parallel and distinct, they run side by side and never cross, so there isn’t any point that lies on both lines. Therefore, the system has no solution. If they were the same line, there would be infinitely many solutions, and if they crossed, there would be exactly one solution.

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