Algebra for Managerial Finance
- 2. Simultaneous Linear Equations
ܽଵ ݔ ܾଵ ݕൌ ܿଵ ܽଵ ܾଶ ݔ ܾଵ ܾଶ ݕൌ ܿଵ ܾଶ
൜ ⇒൜
ܽଶ ݔ ܾଶ ݕൌ ܿଶ ܽଶ ܾଵ ݔ ܾଶ ܾଵ ݕൌ ܿଶ ܾଵ
ܽଵ ܾଶ ݔ ܾଵ ܾଶ ݕൌ ܿଵ ܾଶ ܽଵ ܾଶ ݔ ܾଵ ܾଶ ݕൌ ܿଵ ܾଶ
⇒൜ ⇒൜
ܽଵ ܾଶ ݔെ ܽଶ ܾଵ ݔൌ ܿଵ ܾଶ െ ܿଶ ܾଵ ܽଵ ܾଶ െ ܽଶ ܾଵ ݔൌ ܿଵ ܾଶ െ ܿଶ ܾଵ
ܿଵ ܾଶ െ ܿଶ ܾଵ
ܽଵ ܾଶ ݔ ܾଵ ܾଶ ݕൌ ܿଵ ܾଶ ݔൌ
ܽଵ ܾଶ െ ܽଶ ܾଵ
⇒ቐ ܿଵ ܾଶ െ ܿଶ ܾଵ ⇒
ݔൌ ܿଵ ܾଶ െ ܽଵ ܾଶ ݔ
ܽଵ ܾଶ െ ܽଶ ܾଵ ݕൌ
ܾଵ ܾଶ
ܱ݊ :ݎ݁ݐ݊݁ ,ݎݐ݈ܽݑ݈ܿܽܿ ݂ܿ݅݅ݐ݊݁݅ܿݏ ݅ݏܽܥ
2 1 ݁݀ܯ ݁݀ܯ
݄ܶ݁݊ ݁݊ܽ ݎ݂ ݏ݁ݑ݈ܽݒ ݎ݁ݐଵ
݄ܶ݁݊ ݏݏ݁ݎൌ
݄ܶ݁݊ ܾ ݎ݂ ݐܽ݁݁ݎଵ , ܿଵ , ܽଶ , ܾଶ , ܽ݊݀ ܿଶ
݄ܶ݁݊ ݏݏ݁ݎൌ ݕ ݀݊ܽ ݔ ݎ݂ ݁ܿ݅ݓݐ
