Question

Rozwiąż układy równań metodą przeciwnych współczynników.

a) KLAMRA 3x+2y=13

2x+y=11

b) KLAMRA 5x +3y=0

-x-2y=7

c) KLAMRA 3u+2v=2

5u+4v=6

d) KLAMRA 3s+5t=-6

1,5s-2t=-3

e) KLARMA 5=3x-y

5x-2y=7

f) KLAMRA x-3y=5

y+3x=-5

Answer 1

a)

{3x+2y=13

{2x+y=11/*(-2)

{3x+2y=13

{-4x-2y=-22

----------

-x=-9

x=9

y=-7

====================

b)

{5x+3y=0

{-x-2y=7/*5

{5x+3y=0

{-5x-10y=35

-----------

-7y=35

y=-5

x=3

====================

c)

{3u+2v=2/*(-2)

{5u+4v=6

{-12u-4v=-4

{5u+4v=6

---------

-7u=2

u=-2/7

v=10/7

===================

d)

{3s+5t=-6

{1,5s-2t=-3/*(-2)

{3s+5t=-6

{-3s+4t=6

---------

9t=0

t=0

s=-2

====================

e)

{3x-y=5/*(-2)

{5x-2y=7

{-6x+2y=-10

{5x-2y=7

----------

-x=-3

x=3

y=4

=======================

f)

{x-3y=5/*(-3)

{3x+y=-5

{-3+9y=-15

{3x+y=-5

-----------

10Y=-20

y=-2

x=-1