Page 2: Verification and Solution Completion

The second page demonstrates the completion of the solution process and verification steps. It shows how to check answers and ensure mathematical accuracy.

Example: The system 2x + 4y = 14 and 2x - 6y = -22 is solved, resulting in the solution point $-3, 5$.

Highlight: The solution process includes checking the answer by substituting the values back into both original equations.

Definition: A solution point (x, y) represents the intersection of two lines where both equations are simultaneously satisfied.

Page 1: Solving Systems of Equations Using Multiple Methods

This page introduces two fundamental methods for solving systems of linear equations. The content focuses on both elimination and substitution techniques, demonstrating their application through detailed examples.

Definition: Elimination method involves adding or subtracting equations to eliminate one variable, while substitution involves expressing one variable in terms of another.

Example: The system 6x + 2y = 10 and 7x - 6y = 20 is solved using both methods, arriving at the solution x = 2.

Highlight: When using substitution, it's crucial to replace the variable in the opposite equation to create a new equation with one variable.

Vocabulary: Linear equations are mathematical statements where variables are raised only to the first power.