Solving Systems of Equations Using Substitution

This video tutorial teaches how to find exact solutions to systems of equations using substitution. It begins with an introduction to systems of equations and the substitution method. The video reviews how to check if a point satisfies a system and how to solve single equations using inverse operations. It then demonstrates solving a system of equations using substitution with examples, emphasizing the importance of verifying solutions. The tutorial concludes with an advanced example, reinforcing the substitution method and ensuring solutions satisfy the original equations.

What must be true for a point to satisfy a system of equations?

• It must satisfy the second equation only.

• It must satisfy the first equation only.

• It must satisfy both equations.

• It must satisfy at least one equation.

What is the solution to the equation 3 - 5x = 18?

• x = -5

• x = 5

• x = -3

• x = 3

In the system y = 2 and x + 3y = 10, what is the value of x?

• x = 2

• x = 4

• x = 6

• x = 8

What is the value of y in the system x + 3y = 1 and -3x + 3y = -15?

• y = 2

• y = -2

• y = 3

• y = -3

After finding y = -2, what is the value of x in the system x + 3y = 1?

• x = 6

• x = 5

• x = 7

• x = 8