Question

Select the best method of finding an accurate solution to a system of linear equations. guess and check; graph the lines; use algebraic methods

Answer 1

iii) Use algebraic methods

Step-by-step explanation:

There are various method of finding an accurate solution to a system of linear equations.

They are i) graphing method: ii) algebraic method: iii) Matrices method:

iv) determinant method: v) guess method vi) Cramer's rule etc

Guess and check is not reliable because guess is possible only for integers or numbers with 1 or 2 decimals. SOmetimes guess may give unreliable results. And every time after the guess, checking and verifying will be time consuming and laborious

Graphing the lines may be accurate but writing tables for each line, choosing scales and drawing lines to find points of intersection may be time consuming.

Algebraic methods using are easy to understand, reliable, and less time consuming but 100% accuracy. There are a number of ways in algebraic method also such as substitution, elimination or cross

Answer 2

I would recommend using algebraic methods.

Explanation:

Of course, guess and check takes a long time and is not very time efficient. If you're graphing it by hand, it'll take time and get tedious, and using algebraic methods will probably give you the most accurate answer. If you have access to a graphing calculator or graphing website like Desmos, then I would suggest using the program to check the answers you got using the algebraic methods.

Hope this helped :)