Solve Systems Algebraically

The video tutorial explains linear equations in slope-intercept and standard forms, and how to graph them. It covers the possibilities of intersecting, parallel, and identical lines, leading to one, no, or infinite solutions. The elimination method is detailed for solving systems of equations, including examples of systems with no solutions and infinite solutions. The tutorial also addresses solving complex systems using the least common multiple (LCM) to eliminate variables.

What are the three possibilities when graphing two linear equations on the same coordinate plane?

Explain the elimination method for solving systems of equations.

How do you find the Y value of the point of intersection after determining the X value?

What indicates that a system of equations has no solutions?

How can you determine if two linear equations describe the same line?

What does it mean when the equation simplifies to 0 = 0 in a system of equations?

Describe the process of finding the least common multiple (LCM) when solving a system of equations.