Learn how to solve a system of equations using substitution

The video tutorial covers systems of equations, focusing on three possible outcomes: intersecting lines, parallel lines, and coincident lines. The teacher explains the substitution method for solving these equations, emphasizing the importance of isolating variables. The process involves substituting known values to find the intersection point of the equations, demonstrated through a step-by-step example.

What are the three possible outcomes when dealing with systems of equations?

• Intersecting at a point, graphing the same line, or being parallel

• Having no solution, one solution, or infinite solutions

• Being perpendicular, parallel, or identical

• Having different slopes, same slopes, or no slopes

What is the first step in the substitution method for solving systems of equations?

• Graphing the equations

• Multiplying the equations

• Isolating a variable

• Adding the equations

After substituting and solving for one variable, what should you do next?

• Multiply both equations

• Add a constant to both sides

• Substitute back to find the other variable

• Check the solution by graphing

In the example provided, if X is found to be 2, what is the value of Y?

• Y = 2

• Y = 4

• Y = 6

• Y = 8

What is the intersection point found in the example?

• (2, 4)

• (4, 6)

• (1, 3)

• (3, 5)