Question

ROZWIĄŻ I SPRAWDŹ UKŁADY RÓWNAŃ:
1.
{3(x-1)+2(2-y)=-5-y
{2x+3y=7

2.
[(x+1)(3y-2)=(3x-5)(y+1)
[4x-5y=1

Answer 1

  1.
 {3(x-1)+2(2-y)=-5-y
{2x+3y=7

{3x-3+4-2y=-5-y
{2x+3y=7

{3x-2y+y=-5+3-4
{2x+3y=7

{3x-y= -6/*3
{2x+3y=7
{9x-3y= -18
{2x+3y=7
------------------------
9x+2x=-18+7
11x= -11/:11
x= -1

2x+3y=7
2*(-1)+3y=7
-2+3y=7
3y=7+2
3y=9/:3
y=3

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

{3xy-2x+3y-2=3xy+3x-5y-5
{4x-5y=1

{3xy-3xy-2x-3x+3y+5y=-5+2
{4x-5y=1

{-5x+8y=-3/*4
{4x-5y=1/*5

{-20x+32y= -12
{20x-25y=5
-----------------------
32y-25y=-12+5
7y= -7/:7
y=-1

4x-5y=1
4x-5*(-1)=1
4x+5=1
4x=1-5
4x=-4/:4
x= -1

x= -1
y= -1

Answer 2

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