Solving Systems of Equations by Substitution

The video tutorial explains how to solve systems of equations using the substitution method. It begins with an introduction to the method, followed by a detailed explanation of the substitution process. The instructor demonstrates how to solve an equation by substituting the value of one variable into another equation, combining like terms, and solving for the unknowns. The tutorial concludes with a summary and addresses any questions from the students.

What is the first step in solving systems by substitution?

• Solve for one variable in terms of the other

• Combine like terms

• Graph both equations

• Substitute the value of one variable into the other equation

What allows us to use substitution in solving systems of equations?

• The system has no solution

• The equations are linear

• One variable is already solved for in one of the equations

• Both variables have the same coefficient

What property is used to simplify the equation after substituting the variable?

• Identity property

• Commutative property

• Distributive property

• Associative property

How do you find the value of the remaining variable after substitution?

• Graphing the equation

• Using the quadratic formula

• Combining like terms and isolating the variable

• Substituting the variable back into the original equation

After finding the value of one variable, what is the next step?

• Check the solution in both original equations

• Solve the other equation as is

• Graph the solution

• Substitute it back into one of the original equations