How to Math - Solving a system of equations by using substitution

The video tutorial explains how to solve systems of equations using the substitution method. It begins with an introduction to systems of equations and the concept of solutions. The tutorial then demonstrates the substitution method with two example problems, showing how to find the intersection points of the equations. The process involves substituting one equation into another to eliminate variables and solve for the unknowns. The video emphasizes understanding the equality of equations at intersection points and provides a clear, step-by-step approach to solving these problems.

What is a system of equations?

• A graph with no intersections

• A single equation with one variable

• A set of equations with multiple variables

• An equation with no solution

What does it mean for a solution to make an equation true?

• The solution changes the equation

• The solution satisfies the equation

• The solution is irrelevant to the equation

• The solution is a guess

What is the first step in solving a system using substitution?

• Graph the equations

• Substitute one equation into the other

• Multiply the equations

• Add the equations together

In the example, what is the value of X where the two lines intersect?

• 0

• 1

• 2

• 3

What is the Y-coordinate of the intersection point in the first example?

• 2

• 3

• 4

• 5

In the second example, what is the X-coordinate of the intersection point?

• -4

• -3

• -2

• -1

What is the Y-coordinate of the intersection point in the second example?

• -7

• -10

• -8

• -9