Solving Systems of Equations by Substitution

The video tutorial explains systems of equations, focusing on the substitution method. It demonstrates solving two systems of equations by substituting one variable with an equivalent expression. The tutorial provides a detailed walkthrough of each step, including identifying which equation to use, performing arithmetic operations, and finding the ordered pair solution. The video concludes with a summary of the substitution method, highlighting its application in solving systems of equations.

What is a system of equations?

• More than one equation with a single variable

• A single equation with one variable

• More than one equation with more than one variable

• A single equation with multiple variables

What is the substitution method?

• Replacing a variable with an equivalent expression

• Replacing a variable with its value

• Replacing a variable with a constant

• Replacing an equation with another equation

In the first example, what is the value of x?

• 5

• 6

• 8

• 7

In the first example, which equation is used to find the y-value?

• The top equation

• The bottom equation

• Both equations

• Neither equation

In the first example, what is the y-value when x is 6?

• 20

• 21

• 22

• 23

In the second example, what is the value of x?

• -1

• -4

• -2

• -3

In the second example, which equation is used to find the y-value?

• The top equation

• The bottom equation

• Both equations

• Neither equation

In the second example, what is the y-value when x is -2?

• -2

• -4

• -3

• -1

What is the general approach to solving a system of equations using substitution?

• Replace an equation with another equation

• Replace a variable with an equivalent expression

• Replace a variable with a constant

• Replace a variable with its value

What should you do after finding the x-value in a system of equations?

• Find the y-value using the second equation

• No further steps are needed

• Find the y-value using either equation

• Find the y-value using the first equation