Solving Systems of Equations with Substitution

This video tutorial by Miss Pollard covers solving systems of equations using the substitution method. It begins with an introduction to the method, followed by several example problems that demonstrate how to isolate variables, substitute them into other equations, and solve for the remaining variables. The video also discusses potential pitfalls and how to verify solutions. The tutorial concludes with a problem that results in no solution, illustrating different outcomes when solving systems of equations.

Which method is being introduced in this video for solving systems of equations?

• Factoring

• Graphing

• Substitution

• Elimination

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

• Graph the equations

• Add the equations together

• Isolate one of the variables

• Multiply both equations

In the example where y is already isolated, what is the value of x after solving the equation 5x - 3(2x - 8) = 22?

• x = 2

• x = -4

• x = -2

• x = 4

After finding x = 2 in the first example, what is the corresponding value of y?

• y = -2

• y = 2

• y = -4

• y = 4

In the second example, what is the new equation after isolating x in the equation x - 3y = 1?

• x = -3y - 1

• x = 3y + 1

• x = -3y + 1

• x = 3y - 1

What is the value of y after solving the equation -2y - 3 = 1 in the second example?

• y = 2

• y = 4

• y = -2

• y = -4

In the third example, what is the value of y after solving the equation -9y - 20 = 7?

• y = 3

• y = -2

• y = -3

• y = 2

What is the value of x after substituting y = -3 into the equation 2x = -4y - 20?

• x = -2

• x = 2

• x = -4

• x = 4

In the final example, what does the equation 12x - 12x = -7 indicate about the system of equations?

• It has one solution

• It has infinite solutions

• It has no solution

• It cannot be solved

If a system of equations results in 0 = 0 after substitution, what does this indicate?

• Cannot be determined

• One solution

• No solution

• Infinite solutions