Solve a system of equations using any method

What you'll learn

• Identify the most efficient method (substitution, elimination, or graphing) for solving a given system of two linear equations in two variables with at least 80% accuracy, justifying the choice based on the structure of the equations.
• Solve a system of two linear equations in two variables using the substitution method, showing all steps clearly and accurately, and verifying the solution by substituting the values back into the original equations with 100% accuracy.
• Solve a system of two linear equations in two variables using the elimination method, demonstrating proficiency in manipulating equations to eliminate one variable and finding the solution with at least 80% accuracy.
• Explain the geometric interpretation of a system of linear equations as intersecting lines, parallel lines, or coinciding lines, and relate these interpretations to the number of solutions (one, none, or infinitely many) with supporting evidence in at least 3 different examples.
• Apply systems of linear equations to solve real-world problems (e.g., mixture problems, rate problems), formulating the equations correctly and finding the solution with at least 75% accuracy.