How to use substitution to solve a system of linear equations

The video tutorial introduces the concept of solving systems of equations using the substitution method. It begins with an explanation of what a system of equations is and how substitution can be applied. The tutorial then demonstrates evaluating functions and expressions by substituting given values. It further explains the substitution method, highlighting its importance in solving systems by replacing variables with equations. An example is provided to illustrate the process, showing how to solve a system by substituting one equation into another to find variable values.

What is a system of equations?

• A set of unrelated equations

• An equation with no variables

• Two or more equations with the same variables

• A single equation with one variable

How do you evaluate the function F(x) = 3x + 2 for x = 2?

• By dividing 3 by 2

• By multiplying 3 by 2 and adding 2

• By subtracting 2 from 3

• By adding 2 to 3

When evaluating the expression 3A + 7B for A = 4 and B = -2, what is the result?

• 0

• 10

• -2

• 14

In the substitution method, what do you substitute into the other equation?

• A constant value

• Another equation

• A different variable

• A random number

What is the main advantage of using the substitution method?

• It requires no calculations

• It simplifies the system to one equation with one variable

• It eliminates all variables

• It always results in a positive solution