Page 1: Solutions for Coordinate Geometry and Linear Equations
This page presents solutions for exercises from pages 266 and 239 of the Lambacher Schweizer Qualifikationsphase PDF. It covers coordinate geometry and linear equations.
The first problem involves finding coordinates of points P, Q, and R. The solution demonstrates the calculation process for determining these points in a three-dimensional coordinate system.
Example: P101−613, Q01013, R51−75175
The second part of the problem deals with solving a system of linear equations. The solution shows the step-by-step process of using substitution and elimination methods to find the values of variables.
Highlight: The use of a graphing calculator GTR is mentioned for solving linear systems, showcasing the integration of technology in advanced mathematics.
The page also includes a solution for problem 17a from page 239, which involves solving an equation with a parameter 'a'.
Vocabulary: Parameter - A variable whose value determines the specific form of a mathematical expression or equation.
The solution demonstrates how to isolate the parameter and solve for its value, resulting in a = -3.