How do you solve $8 = 3 + | 10 y + 5 |$ $8=3+|10y+5|$ ?

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Answer 1 · 2014-10-26T11:03:25

$8 = 3 + | 10 y + 5 |$ $8=3+|10y+5|$

by subtracting $3$ $3$ ,

$\Rightarrow 5 = | 10 y + 5 |$ $Rightarrow 5=|10y+5|$

by removing the absolute value sign,

$Rightarrow{(10y+5=5),(10y+5=-5):}$

(Note: Since the absolute value erases the negative sign, we need to consider both positive and negative values.)

by subtracting $5$ ,

$Rightarrow{(10y=0),(10y=-10):}$

by dividing by $10$ ,

$Rightarrow{(y=0),(y=-1):}$

Hence, $y=-1,0$ .

I hope that this was helpful.

How do you solve 8=3+|10y+5|8=3+|10y+5|8=3+|10y+5|?