Use substitution to solve a system of equations with variables n and m

The video tutorial covers solving systems of equations using substitution. The teacher emphasizes the importance of using substitution for quizzes and explains how to identify variables with a coefficient of 1 for easier solving. The process involves solving for one variable and substituting it into another equation, applying the distributive property, and finding the final solution. The tutorial also addresses common questions and clarifies the steps involved.

What method is emphasized for solving systems of equations in the quiz?

• Graphing

• Substitution

• Elimination

• Matrix Method

Why is it beneficial to choose a variable with a coefficient of 1 for substitution?

• It makes the equation more complex.

• It simplifies the solving process.

• It requires more steps.

• It is the only option available.

What should you do after solving for a variable with a coefficient of 1?

• Ignore the variable.

• Use it in the original equation.

• Substitute it into the other equation.

• Change its coefficient.

What mathematical property is applied after substitution?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

What is the next step after applying the distributive property in the substitution process?

• Ignore the equation.

• Add more variables to the equation.

• Combine like terms and solve for the variable.

• Start over with a new equation.

What is the value of M after solving the equation?

• 5

• 0

• 7

• -7

What is the final value of N after solving the equation?

• 6

• -8

• 8

• -6