Question

wyznacz "c" ze wzoru

a) 1/a - 3/2c = 2/c

b) 2/c = a/4 + b/4

Answer 1

a)

1/a-3/2c=2/c

1/a-3/2c*1/3=2/c*1/3

1/a-1/2c=3/3c

1/a=3/3c-1/2c

1/3a=1/6c

1/a=6c-3/6c

1/a=3/6c

6/a=3/c

6/a=3:1/c:1

6/a*3/1=c

c=18/a

 

b) 2/c=a/4+b/4

2/1:c/1=a/4+b/4

c/1=a/4+b/4*2

c=a/4+b/4*2

Answer 2

a) 1/a-3/2c=2/c  |*c
c/a-3/2=2

c/a=3,5    |*a
c=3,5a

b) 2/c = a/4 + b/4   |*c

2=ac/4+bc/4  |*4
8=ac+bc
8=c(a+b)   |: (a+b)

8/(a+b)=c