Предмет: Алгебра, автор: radetskyiostap26

БУДЬ ЛАСКА СРОЧНО ДОПОМОЖІТЬ!​

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Ответы

Автор ответа: сок111213
0

a)

\displaystyle\bf\\\left \{ {{7x - 3y =  - 5 \:  \:  |  \times 4} \atop {3x + 4y =  - 18  \:  \:  | \times 3 }} \right. \\ \displaystyle\bf\\ + \left \{ {{28x - 12y =  - 20} \atop {9x + 12y =  - 54 }} \right. \\ \\ 28x + 9x =  - 20 - 54 \\ 37x  =  - 74 \\ x =  - 74 \div 37 \\ x =  - 2 \\  \\ 3 \times ( - 2) + 4y =  - 18 \\  - 6 + 4y =  - 18 \\ 4y =  - 18 + 6 \\ 4y =  - 12 \\ y =  - 12 \div 4 \\ y =  - 3

Ответ: ( - 2 ; - 3 )

б)

\displaystyle\bf\\\left \{ {{ \frac{x + 3}{4}  -  \frac{y - 2}{6} = 1 \:  \:  |  \times 12 } \atop { \frac{x - 1}{8}  +  \frac{y + 1}{6} = 2 \:  \:  |   \times 24 }} \right. \\ \displaystyle\bf\\\left \{ {{3(x + 3) - 2(y - 2) = 12} \atop {3(x - 1) + 4(y + 1) = 48 }} \right. \\ \displaystyle\bf\\\left \{ {{3x + 9 - 2y + 4 = 12} \atop {3x - 3 + 4y + 4 = 48 }} \right. \\ \displaystyle\bf\\\left \{ {{3x - 2y =  - 1 \:  \:  |  \times 2} \atop {3x + 4y = 47 }} \right. \\ \displaystyle\bf\\ + \left \{ {{6x - 4y =  - 2} \atop {3x + 4y = 47 }} \right. \\ \\ 6x + 3x = 47 - 2 \\ 9x = 45 \\ x = 45 \div 9 \\ x = 5 \\  \\ 3 \times 5 + 4y = 47 \\ 15 + 4y = 47 \\ 4y = 47 - 15 \\ 4y = 32 \\ y = 32 \div 4 \\ y = 8

Ответ: ( 5 ; 8 )

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