Question

Rozwiąż układy równań. Załącznik . Metoda dowolna ! DAM NAJ

Answer 1

A)
{3(x+4)+5=4(y-1)+10
{2(y-1)+3=2(1-x)+1

{3x+12+5=4y-4+10
{2y-2+3=2-2x+1

{3x-4y=-4+10-12-5
{2x+2y=2+1+2-3

{3x-4y=-11
{2x+2y=2 /*2

{3x-4y=-11
{4x+4y=4

7x=-7 /:7
x=-1

{x=-1
{2*(-1)+2y=2

{x=-1
{-2+2y=2

{x=-1
{2y=2+2

{x=-1
{2y=4 /:2

{x=-1
{y=2

b)
{4(x-1)+6=2-2(1-y)
{3(x-y)+2=x-3(y-2)

{4x-4+6=2-2+2y
{3x-3y+2=x-3y+6

{4x-2y=2-2+4-6
{3x-x+3y-3y=6-2

{4x-2y=-2
{2x=4 /:2

{4x-2y=-2
{x=2

{4*2-2y=-2
{x=2

{8-2y=-2
{x=2

{-2y=-2-8
{x=2

{-2y=-10 /:(-2)
{x=2

{y=5
{x=2

c)
{2(2-3x)=3-5(2y-3)
{8(3-2x)+4=3(2x+y)

{4-6x=3-10y+15
{24-16x+4=6x+3y

{-6x+10y=3+15-4
{-16x-6x-3y=-24-4

{-6x+10y=14 /*3
{-22x-3y=-28 /*10

{-18x+30y=42
{-220x-30y=-280

-238x=-238 /:(-238)
x=1

{x=1
{-6x+10y=14

{x=1
{-6+10y=14

{x=1
{10y=20 /:10

{x=1
{y=2

d)
{3(4-2x)+8=4(y-1)
{2(y-x)-7=3-4(y-1)

{12-6x+8=4y-4
{2y-2x-7=3-4y+4

{-6x-4y=-4-12-8
{-2x+6y=4+7

{-6x-4y=-24
{-2x+6y=11 /*(-3)

{-6x-4y=-24
{6x-18y=-33

-22y=-57 /:(-22)
y=57/22

{y=57/22
{-2x+6y=11

{y=57/22
{-2x+6*57/22=11

{y=57/22
{-2x+171/11=11

{y=57/22
{-2x=11-171/11

{y=57/22
{-2x=121/11-171/11

{y=57/22
{-2x=-50/11 /:(-2)

{y=57/22
{x=-50/11*(-1/2)

{y=57/22
{x=25/11

e)
{x+y=2
{x-y/4 - x+y/2 = 1 /*4

{x+y=2
{x-y-2(x+y)=4

{x+y=2
{x-y-2x-2y=4

{x+y=2
{-x-3y=4

-2y=6 /:(-2)
y=-3

{y=-3
{x+y=2

{y=-3
{x-3=2

{y=-3
{x=2+3

{y=-3
{x=5