Substitution Method for Solving Systems of Equations

The video tutorial explains how to solve a system of equations using the substitution method. It begins by introducing the method and its purpose, then demonstrates solving one equation for a variable, substituting it into the second equation, and solving for the other variable. The tutorial concludes with finding the ordered pair solution and suggests verifying the solution.

What is the main goal when solving a system of equations using the substitution method?

• To rewrite the equations in a different form

• To eliminate one variable completely

• To find the values of x and y that satisfy both equations

• To find the values of x and y that satisfy only one equation

What is the first step in the substitution method?

• Check the solution in both equations

• Solve both equations simultaneously

• Graph the equations

• Solve one of the equations for one of the variables

After solving one equation for a variable, what is the next step?

• Check the solution immediately

• Solve for the other variable directly

• Substitute the expression into the other equation

• Substitute the expression into the same equation

What operation is performed after substituting the expression into the second equation?

• Graphing the equation

• Simplifying the equation

• Checking the solution

• Rewriting the equation

What is the common factor used to simplify the fraction 48/20?

• 2

• 3

• 4

• 5

What is the result of simplifying the fraction 48/20?

• 12/5

• 24/10

• 6/5

• 48/5

What is the final step after finding the value of the second variable?

• Rewrite the system of equations

• Graph the solution

• Solve for the first variable using the original equation

• Verify the solution in both equations

What is the solution to the system of equations in this example?

• (8, 12)

• (8/5, 12/5)

• (12/5, 8/5)

• (5/8, 5/12)

Why is it important to verify the solution in both equations?

• To simplify the equations further

• To confirm the solution satisfies both equations

• To ensure the solution satisfies only one equation

• To find a different solution

What does it mean if a system of equations is consistent and independent?

• There is exactly one solution

• The equations are identical

• There are no solutions

• There are infinitely many solutions