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Rozwiąż równanie:
a)
14+5∙y=54−5∙y
14+5∙y=54−5∙y



b)
8+2∙z+7 ∙z=80
8+2∙z+7 ∙z=80



c)
6−20 ∙u=(−19)−15 ∙u
6−20 ∙u=−19−15 ∙u



d)
5∙x+6−x=(−74)
5∙x+6−x=(−74)



e)
6 ∙y+1−3∙y=13
6 ∙y+1−3∙y=13



f)
(−3)+2∙y=30−y
−3+2∙y=30−y



g)
9∙y=70+2 ∙y
9∙y=70+2 ∙y



h)
4∙m−8=10∙m+34
4∙m−8=10∙m+34



i)
5−u=(−9)∙u+29
5−u=−9∙u+29



j)
(−11)∙z+3=(−4)∙z+59
−11∙z+3=−4∙z+59



Odpowiedź :

[tex]a)\\14+5y = 54 - 5y\\\\5y+5y = 54-14\\\\10y = 40 \ \ /:10\\\\y = 4[/tex]

[tex]b)\\8+2z+7z = 80\\\\9z = 80-8\\\\9z = 72 \ \ /:9\\\\z = 8[/tex]

[tex]c)\\6 - 20u = -19-15u\\\\-20u + 15u = -19-6\\\\-5u = -25 \ \ /:(_5)\\\\u = 5[/tex]

[tex]d)\\5x+6-x = -74\\\\4x = -74-6\\\\4x = -80 \ \ /:4\\\\x = -20[/tex]

[tex]e)\\6y+1-3y=13\\\\3y = 13-1\\\\3y = 12 \ \ /:3\\\\y = 4[/tex]

[tex]f)\\-3+2y = 30-y\\\\2y+y = 30+3\\\\3y = 33 \ \ /:3\\\\y = 11[/tex]

[tex]g)\\9y=70+2y\\\\9y-2y = 70\\\\7y = 70 \ \ /:7\\\\y = 10[/tex]

[tex]h)\\4m-8=10m+34\\\\4m-10m = 34+8\\\\-6m = 42 \ \ /:(-6)\\\\m = -7[/tex]

[tex]i)\\5-u = -9u+29\\\\-u+9u = 29-5\\\\8u = 24 \ \ /:8\\\\u = 3[/tex]

[tex]j)\\-11z+3 = -4z+59\\\\-11z+4z = 59-3\\\\-7z = 56 \ \ /:(-7)\\\\z = -8[/tex]

Odpowiedź:

a) 14+5y= 54-5y

5y+5y= 54-14

10y= 40  /:10

y= 4

b) 8+2z+7z=80

9z= 80-8

9z= 72   /:9

z= 8

c) 6-20u= -19-15u

-20u+15u= -19-6

-5u= -25   /:(-5)

u= 5

d) 5x+6-x= -74

4x= -74-6

4x= -80   /:4

x= -20

e) 6y+1-3y= 13

3y= 13-1

3y= 12   /:3

y= 4

f) -3+2y= 30-y

2y+y= 30+3

3y= 33   /:3

y= 11

g) 9y= 70+2y

9y-2y= 70

7y= 70  /:7

y= 10

h) 4m-8= 10m+34

4m-10m= 34+8

-6m= 42    /:(-6)

m= -7

i) 5-u= -9u+29

-u+9u= 29-5

8u= 24   /:8

u= 3

j) -11z+3= -4z+59

-11z+4z= 59-3

-7z= 56    /:(-7)

z= -8

Szczegółowe wyjaśnienie: