Using Elimination and the LCM to Solve a System

The video tutorial explains the elimination method for solving systems of equations. It emphasizes the importance of having the same coefficients for variables to use elimination effectively. The instructor discusses the alternative method of substitution but focuses on elimination, explaining how to find the least common multiple (LCM) to align coefficients. The tutorial demonstrates the process of elimination by adding equations and solving for variables, providing a step-by-step guide to reach the solution.

What is the primary requirement for using the elimination method in solving equations?

• The equations must have different coefficients for all variables.

• The equations must be linear.

• The equations must have the same constant terms.

• The equations must have the same coefficients for at least one variable.

What is the least common multiple (LCM) used for in the context of elimination?

• To solve for the variable directly.

• To adjust coefficients so they are the same for elimination.

• To determine the constant term of the equation.

• To find the solution to the equation.

In the example provided, what is the LCM of 2 and 4?

• 4

• 6

• 2

• 8

What operation is performed after achieving the same coefficients in the elimination method?

• Subtraction of the equations.

• Multiplication of the equations.

• Addition of the equations.

• Division of the equations.

After eliminating one variable, what is the next step in solving the system of equations?

• Multiply the equations again.

• Rearrange the equations.

• Solve for the remaining variable.

• Check the solution with a different method.