Wednesday

August 27, 2014

August 27, 2014

Posted by **Anonymous** on Tuesday, October 13, 2009 at 6:27pm.

Solve the absolute value equation.

I y+3 I +5=2y

Would the solutions be 8=y and y=2/3?

Subtract 5 from both sides.

I y+3 I = 2y-5

Separate--

y+3=2y-5 And y+3= -(2y-5)

subtract "y" from the first equation.

3=y-5

Add 2y to the equation y+3= -(2y-5) which had become y+3= -2y+5

Now, the two equations are 3=y-5 and 3y+3=5.

Add 5 to both sides of the first equation. Get 8=y.

Subtract 3 from each side of the second equation. Get 3y=2. Divide by 3. Get y=2/3.

Hence, y=8, y=2/3.

- Algebra -
**jim**, Tuesday, October 13, 2009 at 7:49pmI'm totally with you on y=8, but the best way to check your answer is to substitute the value back in.

Now try y=2/3:

Is |2/3+3| + 5 = 2(2/3) ?

Is 11/3 + 15/3 = 4/3 ?

I think you took a wrong turn at: "Now, the two equations are 3=y-5 and 3y+3=5."

You can't assume you can break up the absolute that way.

Is 8 the only answer?

Well, y can't be less than 2.5, because |y+3|>=0 and 5 is 5, so |y+3|+5 >=5, so 2y cannot be less than 5.

Since y can't be negative, |y+3| must equal y+3, so the equation is simply equivalent to y+3+5=2y, so 8 is the only answer.

**Related Questions**

Algebra - I posted this earlier but it didn't get answered. So I'm posting it ...

english - Alice Axia’s article discussed overlooked tax deductions. It talked ...

English - Is this a summary?Alice Axia’s article discussed overlooked tax ...

com170 - Is this a summary, analysis, synthesis or evaluation 1. Alice Doe’s ...

com170 - Is this a summary, analysis, synthesis or evaluation 1. Alice Doe’s ...

com170 - I believe this paragraph below is a Analysis I have to pick between ...

com 170 - I believe this paragraph below is a Analysis I have to pick between ...

Eng Ms. Sue - I'm using fear as the main cause of war and I have some reasons ...

English Ms. Sue - How would I explain my reason fear can cause war because they ...

Algebra - 1). 3x + 7 = 9 2). -3(x + 5) + 3 = 12 Can you also please show the ...