Applying substitution to solve a system of equations with a consistent independent solution

The video tutorial demonstrates how to solve a system of equations using the substitution method. It begins by explaining the importance of choosing a variable with a coefficient of 1 for substitution. The instructor then shows how to substitute this variable into the other equation and solve for the remaining variable. The distributive property is applied to simplify the equation, leading to the determination of the solution set. The tutorial concludes by summarizing the consistent independent solution obtained.

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

• Solve for a variable with a coefficient of 1

• Multiply both equations by 2

• Add the equations together

• Divide both equations by 2

When substituting the value of X into the other equation, what type of equation do you get?

• An equation with no variables

• An equation with both X and Y

• An equation with only Y

• An equation with only X

After finding the value of Y, what should you do next?

• Solve for Z

• Add Y to both sides of the equation

• Substitute Y back into one of the original equations

• Multiply Y by 2

What is the solution set for the system of equations in the example?

• X = 2, Y = 0

• X = 0, Y = 2

• X = 0, Y = 0

• X = 1, Y = 1

What type of solution is obtained in the example?

• No solution

• Dependent

• Inconsistent

• Consistent independent