Systems of equations by using the solving technique x+3y=8, y=2x‐9

The video tutorial explains the substitution method for solving equations. It emphasizes the importance of identifying isolated variables and substituting their values into other equations. The tutorial demonstrates the process step-by-step, including applying the distributive property and solving for variables. Finally, it verifies the solution by plugging the values back into the original equations.

What is the first step in the substitution method when you have an isolated variable?

• Combine like terms

• Solve for the other variable

• Substitute the isolated variable into the other equation

• Apply the distributive property

When substituting a variable into another equation, what mathematical property must you remember to apply?

• Identity property

• Distributive property

• Associative property

• Commutative property

What should you do after substituting the variable and applying the distributive property?

• Solve for the other variable

• Combine like terms

• Check your solution

• Isolate the variable

What is the value of X after solving the equation?

• 9

• 7

• 5

• 3

After finding the value of X, how do you find the value of Y?

• Use the value of X in the original equation

• Use a different equation

• Divide the value of X by 2

• Guess the value of Y