Solving Systems of Equations by Substitution

The video tutorial explains how to use substitution to solve systems of equations. It begins with an introduction to the concept, followed by a detailed walkthrough of solving two different systems. The first example uses substitution to find the values of x and y, while the second example demonstrates the process with a different set of equations. The video concludes with a summary of the methods used.

What is the first step in the substitution method when given a system of equations?

• Solve for x in one of the equations

• Solve for y in one of the equations

• Substitute the value of x into the other equation

• Substitute the value of y into the other equation

In the first example, what expression is substituted for y in the second equation?

• 11 - 6x

• 6x - 11

• 11 + 6x

• 6x + 11

After substituting y in the first example, what type of equation do we get?

• An equation with two variables

• An equation with one variable

• A linear equation with no variables

• A quadratic equation

What is the value of x in the first example after solving the equation?

• x = 3

• x = 2

• x = 4

• x = 1

Which equation is used to find the value of y after determining x in the first example?

• Neither equation

• Both equations

• The second equation

• The first equation

What is the solution to the first system of equations?

• (1, -2)

• (2, -1)

• (1, 2)

• (2, 1)

In the second example, which equation is chosen for the substitution setup?

• Both equations

• The first equation

• The second equation

• Neither equation

What expression is substituted for y in the second example?

• x - 1

• x + 1

• 1 - x

• 1 + x

What is the value of x in the second example after solving the equation?

• x = 5

• x = 2

• x = 3

• x = 4

What is the solution to the second system of equations?

• (4, -3)

• (3, -4)

• (3, 4)

• (4, 3)