Question

Линейное уровнение
(1) {2y-3x=6
{y-3x=9
(2) {4x-5y=-22
3x+2y=18
(3) {5x+6y=0
3x+4y=4

Answer 1

(1) {2y-3x=6  => {2y-3x=6 => 2y+9-y=6    => y=-3

{y-3x=9        => {-3x=9-y  =>  -----------       =>  -3x=9 - (-3) => x= -4

(x,y)=(-4; -3)

(2) {4x-5y=-22  => {4x-5y=-22 => 4(6 - 2/3 y) - 5y= -22 => y=6

3x+2y=18         => x=6 - 2/3 y  => ------------ =>x=6- 2/3 *6 => x=2

(x,y)=(2,6)

(3) {5x+6y=0  => {5x+6y=0 => 5(4/3 - 4/3y)+6y=0 => y=10

3x+4y=4          => x=4/3 - 4/3y => ------------- => x=4/3 - 4/3*10 => x=-12

(x,y)=(-12,10)