ALG2 How to apply elimination and multiplying one equation to solve

The video tutorial explains how to handle equations with coefficients, focusing on finding the least common multiple (LCM) and using multiplication to simplify equations. It covers the elimination method to solve systems of equations and discusses the different types of systems, including consistent, inconsistent, and those with infinite solutions. The tutorial emphasizes the importance of multiplying equations correctly to maintain their solutions.

What is the first step when variables do not have the same coefficients?

• Add the coefficients together

• Look for the simplest LCM of the coefficients

• Find the greatest common divisor

• Divide the coefficients by each other

Why do we multiply an entire equation by a number?

• To change the solution of the equation

• To make the equation more complex

• To achieve a common multiple for elimination

• To simplify the equation

What happens when you multiply an equation by a number?

• The equation becomes invalid

• The solution to the equation changes

• The equation remains equivalent

• The equation becomes inconsistent

What does it mean if you end up with an equation like 0 = 0?

• There is no solution

• There are infinite solutions

• The system is inconsistent

• The system has a unique solution

What type of system has no solution?

• Inconsistent system

• Consistent system

• Dependent system

• Independent system