Multiply whole numbers

What you'll learn

• Identify, given a system of linear equations (two or three variables), whether the system is consistent independent, consistent dependent, or inconsistent, justifying the classification through algebraic manipulation or graphical representation with 100% accuracy.
• Solve systems of three linear equations in three variables using techniques such as Gaussian elimination, matrix operations (using technology), or Cramer's Rule and verify the solution set is accurate by substituting into the original equations, achieving a 90% success rate on assigned problems.
• Explain the geometric interpretation of solutions to systems of linear equations in two and three dimensions, relating the number of solutions (none, one, or infinite) to the intersection of lines and planes with clear and concise explanations in written or oral form, demonstrating understanding in at least 4 out of 5 opportunities.
• Apply the concept of classifying systems of equations to solve real-world problems involving multiple constraints, such as resource allocation or mixture problems, formulating the system correctly and determining the solution with at least 80% accuracy.