Solving Systems of Equations by Substitution

This video tutorial by Method Man teaches how to solve systems of equations using the substitution method. It outlines three main steps: solving for a variable in the simpler equation, substituting it into the other equation, and finding the values of all variables. The tutorial includes two examples demonstrating these steps, with detailed explanations and hints. The video concludes with a suggestion to explore more complex problems in another video and encourages viewers to subscribe for more lessons.

What is the first step in solving a system of equations using the substitution method?

• Eliminate one variable.

• Graph the equations.

• Start with the easier equation and solve for one variable.

• Solve for both variables simultaneously.

Why is it beneficial to substitute one equation into the other?

• It makes the equations longer.

• It simplifies the problem to one variable.

• It eliminates the need for variables.

• It avoids the need for any calculations.

In Example 1, what value is found for x?

• 3

• 2

• 0

• 1

After finding the value of x in Example 1, what is the next step?

• Solve for y using the simpler equation.

• Graph the solution.

• Substitute x back into the same equation.

• Check the solution in both equations.

What is the final solution for y in Example 1?

• 3

• 0

• 2

• 1

What hint is given to students before they try the example?

• Eliminate one variable first.

• Graph both equations first.

• Start with the equation that already has one variable isolated.

• Start with the equation that has both variables.

In Example 2, which equation is identified as the easier one?

• Neither equation is easy.

• Both equations are equally easy.

• The bottom equation.

• The top equation.

What value is found for y in Example 2?

• 2

• 3

• 1

• 0

What value is found for x in Example 2?

• 2

• 3

• 0

• 1

What should students do if they are still confused after watching the video?

• Skip the problem.

• Try a different method.

• Watch another video on solving systems through substitution.

• Give up on the problem.