В)2(x + 3y) = 11y – 7, 3(3x – 2y) = 5x – 2...

zefirkaunikorn @zefirkaunikorn

August 2022 1 22 Report

В)2(x + 3y) = 11y – 7,
3(3x – 2y) = 5x – 2.

Answers & Comments

zinaidazina

$\left \{ {{2(x+3y)=11y-7} \atop {3(3x-2y)=5x-2}} \right.$

$\left \{ {{2x+6y=11y-7} \atop {9x-6y=5x-2}} \right.$

$\left \{ {{2x-11y+6y=-7} \atop {9x-5x-6y=-2}} \right.$

$\left \{ {{2x-5y=-7} \atop {4x-6y=-2}} \right.$

$\left \{ {{2x*(-2)-5y*(-2)=-7*(-2)} \atop {4x-6y=-2}} \right.$

$\left \{ {{-4x+10y=14} \atop {4x-6y=-2}} \right.$

сложим:

$-4x+10y+4x-6y=14-2$

$4y=12$

$y=12:4$

$y=3$

$4x-6y=-2$ => $4x-6*3=-2$

$4x=18-2$

$4x=16$

$x=16:4$

$x=4$

Ответ: (4; 3)

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