Please, help with system of equations

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SUMMARY

The discussion focuses on solving a system of equations represented by two vector functions: f(t) = (5t + 1, -2t + 1) and g(t) = (-15t - 2, 6t + 2). Participants seek clarification on how to manipulate these functions to find their intersection or analyze their behavior. The conversation emphasizes the importance of correctly interpreting the functions and understanding their dimensional outputs.

PREREQUISITES
  • Understanding of vector functions in R
  • Familiarity with systems of equations
  • Knowledge of parameterization in mathematics
  • Basic skills in solving for intersections of functions
NEXT STEPS
  • Explore methods for finding intersections of vector functions
  • Learn about parameterization techniques in R
  • Study graphical representations of vector functions
  • Investigate numerical methods for solving systems of equations
USEFUL FOR

Students and professionals in mathematics, particularly those studying calculus or linear algebra, as well as anyone interested in solving systems of equations involving vector functions.

Nikolas7
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Please, help with system of equations:
f(x,y)=(5,-2)t+(1,1)
g(x,y)=(-15,6)t+(-2,2)
 
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What have you tried? Where are you stuck?
 
Even more, what do you want to do? You have two functions from R to R^2, f(t)= (5t+ 1, -2t+ 1) and g(t)= (-15t- 2, 6t+ 2). (Those are not "f(x,y)" and "g(x,y)".) What do you want to do with them? What is your question?
 

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