Regents Exam: Algebra I August 2016 (Problem 22 of 37)

The video tutorial explains how to determine which system of equations does not share the same solution as a given system. It discusses various methods, including graphing and testing solutions, and emphasizes analyzing each system to check if equations are constant multiples of the original. The tutorial concludes by identifying the non-equivalent system through elimination and analysis.

What is one method mentioned for determining if systems of equations have the same solution?

• Using a calculator to find solutions

• Graphing each system and inspecting

• Guessing the solution

• Using a computer program

What is a key characteristic of equivalent systems of equations?

• They have no solutions

• They can be obtained by multiplying by a constant

• They can be obtained by adding a constant

• They have different solutions

How can you verify if a system of equations is equivalent to another?

• By changing the order of equations

• By solving for X only

• By checking if the equations are constant multiples

• By using a different set of variables

Why does the fourth option not have the same solution as the original system?

• The system has no equations

• The first equation is incorrect

• The second equation's constant is incorrect

• Both equations are incorrect

What is the final conclusion about the system from option 4?

• It has the same solution as the original

• It has no solution

• It does not have the same solution as the original

• It is the only correct system