To solve `|5-2y|+3=8` , we need to use the absolute value function `|x|=x` if `x>=0` and `|x|=-x` if `x<0` .
This means that we are solving two equations, which are based on `5-2y>=0` which is the same as `-2y>=-5` or `y<=5/2` .
(1) if `y<=5/2` :
`y=0` This is `<=5/2` so it is a valid solution.
(2) if `y>5/2`
Since this is `>5/2` it is also a valid solution.
The two solutions are `y=0` and `y=5` .
|5 - 2y| + 3 = 8
To solve this , first subtract 3 on both sides
By subtracting 3 on both sides , you should get
| 5 - 2y | = 5 now change this to
5 - 2y = 5 and 5 - 2y = -5
Now subtract 5 on both sides of both equation . By subtracting , you should get
-2y = 0 and -2y = -10 now divide by -2 on both sides of both equations .
By dividing , you should get
y = 0 and y = 5 which are your answers