Question

$\left \{ {{5x-6y=1} \atop {3x+4y=12}} \right. \left \{ {{-2(6x+3)+1=y-3} \atop {11-4(x-2)=y-2}} \right.$
пожалуйста ответьте

Answer 1

Ответ: x=2 ; y=1,5

$\left \{ {{5x-6y=1 \: \: | \times 4} \atop {3x+4y=12 \: \: | \times 6 }} \right. \\ \\ \left \{ {{20x - 24y = 4} \atop {18x + 24y = 72}} \right. + \\ 38x = 76 \\ x = 2$

И вместо х поставим 2

$3x + 4y = 12 \\ 3 \times 2 + 4y = 12 \\ 6 + 4y = 12 \\ 4y = 6 \\ y = 1.5$

Ответ: x=-2,875 ; y=11,5

$\left \{ {{-2(6x+3)+1=y-3} \atop {11-4(x-2)=y-2}} \right. \\ \\ \left \{ {{ - 12x - 6 + 1 = y - 3} \atop {11 - 4x + 8 = y - 2}} \right. \\ \\ \left \{ {{ - 12x - y = - 3 - 1 + 6} \atop { - 4x - y = - 2 - 8 - 11}} \right. \\ \\ \left \{ {{ - 12x - y = 2 \: \: | \times ( - 1) } \atop { - 4x - y = - 21 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \right.$

$\left \{ {{ 12x + y = - 2} \atop { - 4x - y = - 21}} \right. + \\ 8x = - 23 \\ x = - 2.875$

И вместо х поставим -2,875

$- 4x - y = - 21 \\ - 4 \times ( - 2.875) - y = - 21 \\ 11.5 - y = - 21 \\ - y = -32.5 \\ y = 32.5$