What is the purpose of solving a system by graphing?

Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the purpose of solving a system by graphing?

Explanation:
Graphing two equations lets you see where their graphs meet, because that meeting point is a pair (x, y) that satisfies both equations. If the lines cross, there is one solution—the intersection point. If the lines are parallel and never meet, there is no solution. If they lie on top of each other, every point on the line satisfies both equations, giving infinitely many solutions. So graphing shows you the solution (or lack thereof) by visualizing how the two lines relate to each other.

Graphing two equations lets you see where their graphs meet, because that meeting point is a pair (x, y) that satisfies both equations. If the lines cross, there is one solution—the intersection point. If the lines are parallel and never meet, there is no solution. If they lie on top of each other, every point on the line satisfies both equations, giving infinitely many solutions. So graphing shows you the solution (or lack thereof) by visualizing how the two lines relate to each other.

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