Question

Rozwiąż równanie :
1/2y +3=7
3/5y+2/5=4
3(y+2)=5
7(y+3)=5y+2+2y
y/2+1/3=7/6
y+3/2-(1-y)=3,5
1/5(y-3)-2/3(y-3/5)+1/3=2/5-1/3(2y-3)
2y+4?4=1/2y+1
y-2/3+1/15-2y-5/3=8-4y/5
y-5/2+2y+3/5+1/3=y+7/15+y/2

Answer 1

a) (1/2) y + 3 = 7

(1/2) y = 7 -3 = 4 / * 2

y = 8

========

b)

(3/5) y +(2/5) = 4   / * 5

3y + 2 = 20

3y = 20 - 2 = 18  / : 3

y = 6

====

c)

3(y +2) = 5  /  : 3

y + 2 = 5/3

y = 5/3 - 2

y = - 1/3

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

d)

7( y +3) = 5y + 2 +2y

7y + 21 = 7y + 2

7y - 7y = 2 - 21

0 = - 19    sprzeczność

równanie nie ma rozwiązania

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

e)

y/2 + 1/3 = 7/6      / * 6

3y + 2 = 7

3y = 7 -2 = 5   / : 3

y = 5/3

===========

f)

y + 3/2  - (1 - y) = 3,5

y + 3/2 -1 + y = 3,5

2y + 1/2 = 3,5

2y = 3,5 - 0,5 = 3  / : 2

y = 1,5

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

g)

(1/5)(y -3) - (2/3)(y - 3/5)+ 1/3 = 2/5 - (1/3)(2y - 3)   / * 15

3(y -3) - 10(y -3/5) + 5 = 6 - 5(2y - 3)

3y - 9 - 10y +0,6 + 5 = 6 - 10y + 15

3y = 21 +9 - 5 - 0,6

3y = 24,4  / : 3

y = 8 i 4/3

y = 9 i 1/3

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

h)

co oznacza  ?

===========

i)

y - 2/3 + 1/15 - 2y - 5/3 = 8 - (4y)/5    / *15

15y - 10 +1 - 30y - 25 = 120 - 12 y

-15y -34 = 120 - 12y

15y -12y = -34 - 120

3y = - 154 / : 3

y = - 51 i 1/3

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

j)

y - 5/2 +2y +3/5 +1/3 = y + 7/15 + y/2    / *15

15y - 37,5 + 30y + 9 + 5 = 15y + 7 + 7,5 y

45y - 23,5 = 22,5y + 7

45y - 22,5 y = 7+23,5

22,5 y = 30,5  / : 22,5

y = 305/225

y = 61/45

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

 

Answer 2

1/2y+3=7/-3     1/2y=4/*2    y=8

3/5y+2/5=4/*5   3y+2=20/-2    3y=18/:3   y=6

3(y+2)=5/:3    y+2=5/3/-2  y=5/3-2   y=-1/3

7y+21=5y+2+2y   7y-5y-2y=2-21 0=-19  rownanie sprzeczne

y/2+1/3=7/6/*6   3y+2=7/-2    3y=5/:3    y=5/3

y+3/2-1+y=3,5    2y=3,5-3/2+1  2y=3/:2   y=1,5

1,5y-4,5-2/3y+6/15+1/3=2/5-2/3y+1      1,5y-2/3y+2/3y=2/5+1+4,5-6/15-1

1,5y=4,5/:1,5   y=3

2y-1/2y=1-1  3/2y=0   rownanie sprzeczne

y-2y+4y/5=8+2/3-1/15-5/3 /*15    15y-30y+12y=120+10-1-25   -3y=104/:(-3)  y=102 2/3

y+2y-y-y/2=7/15+5/2-3/5-1/3 /*30    30y+60y-30y-15y=14+75-18-10

45y=61   y=61/45

 

chyba sie nie pomylilam :P