Linear Equations with Intersecting Lines: Solving for Unknowns

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SUMMARY

The discussion focuses on solving linear equations involving intersecting lines, specifically the equations: 1) ax + by = c, y = 2ax; 2) y = mx + c, y = -mx + d; 3) ax - by = 1, y = x. The user seeks a straightforward method to solve these equations, indicating they are new to the topic and currently studying Linear Algebra. The conversation highlights the importance of understanding matrices for solving systems of equations, as well as the distinction between Linear Algebra and regular algebra.

PREREQUISITES
  • Understanding of Linear Algebra concepts
  • Familiarity with solving systems of equations
  • Knowledge of matrix operations
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study methods for solving systems of linear equations using matrices
  • Learn about the Gaussian elimination technique
  • Explore the concept of dependent and independent equations
  • Investigate graphical methods for visualizing intersecting lines
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Students of Linear Algebra, educators teaching algebraic concepts, and anyone seeking to improve their skills in solving linear equations and understanding their graphical representations.

bob4000
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how wud i do the following:

1.ax+by=c, y=2ax
2.y=mx+c, y=-mx+d
3.ax-by=1, y=x
4.some values for a,b and c for which equation does not represent a straight line, give egs

ive dun simpler versions of 1-3 but i haven't come across the above, so cud someone please tell me a simple method of working them out. thnx
 
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I'm having trouble understanding what you want. Are you trying to solve all six equations simultnaeously? 5 unknowns for 6 equations means you have a dependent equation in that lot. What class is this for? Linear Algebra requires a slightly diffferent approach than regular algebra. Do you know how to use matrices?

Anyway, a little more information presented slightly more clearly would help here.
 
all the questions are separate, hence the numbering of each question. its as level and I've jut started this work so i need a bit of help
 

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