Solving Systems of Linear Equations

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Objective

I can solve systems of linear equations using graphing, substitution, or elimination.

Part 1 of 4

Warm-up video

Professor Dave Explains · 10:46Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    Linear equations take the form Y = MX + B and model many real-world relationships because they are neither too simple nor too complicated.

  2. 2

    A system of linear equations is a set of equations where the variables are not raised to any exponent, and a solution to the system provides values for each variable that make all equations true.

  3. 3

    A system of equations is considered consistent if it has at least one solution, and inconsistent if it has no solution.

Part 3 of 4

Practice

7 questions

1

What is the general form of a linear equation discussed in the video?

2

Why are linear equations considered a 'happy medium' between simplicity and complexity when modeling real-world relationships?

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the following system of equations by graphing: Y = X + 1 and Y = -X + 3. What is the solution (X, Y)?

Sample answer included in the free materials

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