Determining the Solution of a System of Equations by Using the Elimination Method

The video tutorial explains how to solve equations using the substitution and elimination methods. It details the process of determining whether to add or subtract equations to eliminate a variable, focusing on the importance of having the same coefficients. The tutorial provides a step-by-step guide to solving for variables and finding the intersection point of two lines using the elimination method.

What is the primary goal of the elimination method when solving equations?

• To find the sum of all variables

• To eliminate one variable by adding or subtracting equations

• To multiply all variables by a constant

• To divide all variables by a constant

When should you add two equations in the elimination method?

• When both variables have different signs

• When both variables have the same coefficient but opposite signs

• When both variables have the same coefficient and sign

• When both variables have different coefficients

What happens to a variable when its coefficient becomes zero in the elimination method?

• The variable is divided by zero

• The variable is added to the other side of the equation

• The variable is eliminated from the equation

• The variable is multiplied by zero

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

• Plug the value back into one of the original equations

• Add the value to the other equation

• Ignore the value and solve for another variable

• Multiply the value by the other equation

What is the result when you add two equations with variables having the same coefficient but opposite signs?

• The variable is eliminated

• The variable's coefficient becomes zero

• The variable's coefficient becomes negative

• The variable's coefficient doubles