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Topic: help on algebra 2 homework! absolute value?**Question:**
what is x?
|x + 2| = 7
and what about for |2y +1| = y + 7
what is y?
by the way x doesnt equal 5.. i got that wrong on the test. so idk what the answer could be? please help. and also y doesnt equal 6. i tried that too.. if you have any other answers and could explain how you got them i would greatly appreciate it!

June 16, 2019 / By Clara

Short Answer: x=5 y=6 Explanation: For x you do 7-2 (because in the equation you add so do the opposite) that equals 5 which is your answer. For y you have to get all the y's on one side so this is how i done it: 2y+1=y+7 2y=y+6 (there's a plus 1 on the other side so i need to subtract it to get it to zero, what you do to one side you do to the other) y=6 ( there's one y on this side so i take it away from both leaving the answer) Hope that helped =)

👍 216 | 👎 4

Did you like the answer? is your problem: -|4-27| ? if so, first eval the expression inside the abs value and get -23 then |-23|=23, and finally -|-23| = -23, which is the final result

I believe what your are asking is this: -| 4 - 27 | So what you do is solve whats inside, which is 4 - 27 = -23. Then you take the absolute value of it which is just positive 23, but since there's a negative outside of it, it makes the number -23.

Easy, there are two possible ansers for both, here's how to do it: Setup for #1 x+2=7 OR -1(x+2)=7 -SImplify- x=5 OR x= -9 For #2 2y+1= y+7 OR -1(2y+1) = y+7 -Simplify- y=6 OR y= -2.6 repeating

👍 90 | 👎 -3

Ix + 2I = 7 x + 2 = 7 and x + 2 = -7 x = 5 x = -9 I2y + 1I = y +7 2y + 1 = y + 7 and 2y + 1 = -y -7 y = 6 y = -8/3

👍 87 | 👎 -10

1) | 7x + 2 | = 10 7x + 2 = 10 ***OR*** 7x + 2 = -10 Solve both equations. 2) |3x - 5| = -1 ANSWER DOES NOT EXIST. Absolute value of something will always make it positive. 3) | x² - 2x - 16 | = 8 x² - 2x - 16 = 8 ***OR*** x² - 2x - 16 = -8 x² - 2x - 24 = 0 ***OR*** x² - 2x - 8 = 0 Solve. hint: both of these equations are factorable. The concept behind splitting the equation into two parts - one positive and one negative - is that anything inside absolute values will turn positive. Looking at a simpler absolute value problem may clarify this for you i.e. |x| = 1 |1| = 1 AND |-1| = 1 to solve this, we would have set x = 1 ***OR*** x = -1 x = {-1,1}

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