а)
[tex]2x - y = 3 \\ 3x - 2y = - 8 \\ \\ y = 2x - 3 \\ 3x - 2(2x - 3) = - 8 \\ \\ 3x - 4x + 6 = - 8 \\ - x = - 8 - 6 \\ - x = - 14 \\ x = 14 \\ \\ y = 2 \times 14 - 3 = 28 - 3 = 25[/tex]
Ответ: ( 14 ; 25 )
б)
[tex]5x - 4y = 8 \: \: \: | \times ( - 3)\\ 15x - 12y = 18 \\ \\ - 15x + 12y = - 24 \\ 15x - 12y = 18 \\ \\ 15x - 15x + 12y - 12y = 18 - 24 \\ 0 = - 6[/tex]
Ответ: нет решений
Copyright © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
а)
[tex]2x - y = 3 \\ 3x - 2y = - 8 \\ \\ y = 2x - 3 \\ 3x - 2(2x - 3) = - 8 \\ \\ 3x - 4x + 6 = - 8 \\ - x = - 8 - 6 \\ - x = - 14 \\ x = 14 \\ \\ y = 2 \times 14 - 3 = 28 - 3 = 25[/tex]
Ответ: ( 14 ; 25 )
б)
[tex]5x - 4y = 8 \: \: \: | \times ( - 3)\\ 15x - 12y = 18 \\ \\ - 15x + 12y = - 24 \\ 15x - 12y = 18 \\ \\ 15x - 15x + 12y - 12y = 18 - 24 \\ 0 = - 6[/tex]
Ответ: нет решений