Question

Potrzebne do 14:10 :P Układy równań.

a)

x=12

x-y=1

b)

5y=2

x+y=2 2/5

c)

4y-x=6

17y=0

d)

a=b

2a+b=9

e)

u=4v

5u-v=10

f)

3r=s

3r+s=24

Oczywiście dam naj :)

Answer 1

a)

x=12

x-y=1

 

12-y=1

-y=1-12

-y=-11

y=11

 

 

 

b)

5y=2

x+y=2 2/5

y=2/5

 

x+2/5=2 2/5

x=2

 

c)

4y-x=6

17y=0

 

 

y=0

4 x 0 -x = 6

-x=6

x=-6

 

 

 

d)

a=b

2a+b=9

 

2a+a=9

3a=9 / 3

a=3 = b

 

 

e)

u=4v

5u-v=10

 

5 x 4 v -v =10

20v-v=10

19v=10  /19

v =10/19

 

u= 4 x 10/19

u=40/19

f)

3r=s

3r+s=24

s+s=24

2s=24 / 2

s=12

3r=12 / 3

r=4

Answer 2

a)

x=12

x-y=1

{12-y=1

{x=12

{y=12-1

{x=12

{y=11

 

b)

5y=2

x+y=2 2/5

{y=2/5

{x+2/5 =2²/₅

{y=2/5

{x=2²/₅ -²/₅

{y=2/5

{x=2

 

4y-x=6

17y=0

{y=0

{4·0-x=6

{y=0

{x=-6

 

d)a=b

2a+b=9

{2b+b=9

[a=b

{3b=9  /:3

{a=b

{b=3

{a=3

 

e)

u=4v

5u-v=10

{u=4v

{5·4v-v=10

{u=4v

{19v=10  /:19

{v= 10/19

{u=4· 10/19 =40/19=2²/₁₉

 

f)

3r=s

3r+s=24

 {3r+3r=24

{3r=s

{6r=24  /:6

{3r=s

{r=4

{s=3·4=12