Math Problem Statement

  1. Diketahui dua persamaan 2x – y = 3 dan -4x – y = -9. Tentukan himpunan penyelesaiannya!
  2. Selesaikan sistem non-linear dari persamaan y = x^2 – 9 dan 2x + y = 3.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Non-Linear Equations
System of Equations
Substitution Method
Elimination Method
Quadratic Equations

Formulas

Elimination: (2x - y) - (-4x - y) = 3 - (-9)
Quadratic Equation: ax^2 + bx + c = 0
Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a

Theorems

Elimination and Substitution Methods
Quadratic Formula

Suitable Grade Level

Grades 10-12