3. Consider the straight line æ + y = 1 and the family of straight lines that pass through the origin given by y = mx. As m changes the line rotates about the origin. Solve these two systems of linear equation and find their points of inter- section. Is there always a solution - If yes, briefly explain why. If not - for what values of m is there no solution.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Consider the straight line r + y = 1 and the family of straight lines that pass
through the origin given by y = mx. As m changes the line rotates about the
origin. Solve these two systems of linear equation and find their points of inter-
section. Is there always a solution - If yes, briefly explain why. If not - for what
values of m is there no solution.
Transcribed Image Text:3. Consider the straight line r + y = 1 and the family of straight lines that pass through the origin given by y = mx. As m changes the line rotates about the origin. Solve these two systems of linear equation and find their points of inter- section. Is there always a solution - If yes, briefly explain why. If not - for what values of m is there no solution.
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