Question

Wyznacz x
a) s=ax+ 5 - x
b) t=x+1/2 + x
c) x= 4x+1/2 - 3
d) y=1/x +7
e)z=x+2/a+5
f)w= x-3/2 + 4 - 2x

Answer 1

Wyznacz x
a) s=ax+ 5 - x
-ax+x=5-s
x(-a+1)=5-s |:(-a+1)
x=(5-s)/(-a+1)

b) t=x+1/2 + x
-x-x=1/2-t
-2x=1/2-t |:(-2)
x=-1/4+t/2
x=t/2-1/4

c) x= 4x+1/2 - 3
x-4x=1/2-3
-3x=-2,5 |:(-3)
x=2,5/3

d) y=1/x +7 |*x
xy=1+7x
xy-7x=1
x(y-7)=1 |:(y-7)
x=1/(y-7)

e)z=x+2/a+5
-x=2/a+5-z |*(-1)
x=-2/a-5+z

f)w= x-3/2 + 4 - 2x
-x+2x=-w-3/2+4
x=2,5-w