Solving Systems of Linear Equations Using Substitution

This video tutorial provides a comprehensive guide on solving systems of linear equations using the substitution method. It is aimed at Algebra 1 students or those in Grade 8 who are familiar with the concept. The video outlines the steps involved in solving such systems, including solving one equation for a variable, substituting into the second equation, and checking the solution. Three example problems are demonstrated to illustrate the method, and viewers are encouraged to practice solving systems on their own. The tutorial concludes with a summary of the key points covered.

What is the primary method discussed in this video for solving systems of linear equations?

• Elimination

• Matrix Method

• Substitution

• Graphing

What is the first step in solving a system using substitution if necessary?

• Distribute coefficients

• Combine like terms

• Solve one equation for one variable

• Check the solution

In the first example, what is the value of X after solving the equation?

• 1

• 0

• -1

• 2

What is the ordered pair solution for the first example problem?

• (1, -12)

• (-1, 12)

• (1, 12)

• (-1, -12)

In the second example, what is the value of X after solving the equation?

• -3

• 0

• 3

• -1

What is the ordered pair solution for the second example problem?

• (0, -3)

• (-3, 3)

• (-3, 0)

• (3, 0)

In the third example, what is the value of X after solving the equation?

• 0

• 2

• 1

• -1

What is the ordered pair solution for the third example problem?

• (1, 7)

• (1, -7)

• (-1, -7)

• (-1, 7)

What is the trick mentioned in the third example regarding substitution?

• Forgetting to subtract both terms

• Forgetting to distribute

• Not solving for a variable first

• Ignoring the negative sign

What is the final step in solving a system using substitution?

• Combine like terms

• Solve for the second variable

• Write the solution as an ordered pair

• Check the solution in both equations