Решите уравнение: 1) x/3 - 2x/9 = x/6 + 1/2 2) y/2-y/8=y/4-1 3) |3 - x| = 5

Question

Решите уравнение:
1) x/3 - 2x/9 = x/6 + 1/2
2) y/2-y/8=y/4-1
3) |3 - x| = 5

Answer 1

1) x/3 - 2x/9 = x/6 + 1/2
1) x/3 - 2x/9 - x/6 = 1/2
(6х-4х-3х)/18=1/2
-x/18=1/2
-x=1/2*18
-x=9
x=-9

 y/2-y/8=y/4-1
 y/2-y/8-y/4=-1
(4y-y-2y)/8=-1
y/8=-1
y=-8

3) |3 - x| = 5

3-x1=5 при 3-х1>=0 x1=<3<br>x1=-2

3-x2=-5 при 3-х2<0 x2=>3
x2=8