SOLUTION: No matter how much I look at this one , I can't see what they are up to . I'm not getting what the ....=.....=.... is trying to do for an algebraic solution. The problem: Mary is

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Question 252741: No matter how much I look at this one , I can't see what they are up to . I'm not getting what the ....=.....=.... is trying to do for an algebraic solution.
The problem: Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
A. 2x+5(x-1)=9x=2
B. p-3(p-5)=10p=2.5
C. 4y+3y=28y=4
D. 5w+6w-3w=64w=8
E. t-2t-3t=32t=8
Again, thanks in advance. Daniel

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
No matter how much I look at this one , I can't see what they are up to . I'm not getting what the ....=.....=.... is trying to do for an algebraic solution.
The problem: Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
I think the 1st = is for the equation, then the second is the solution.
A. 2x+5(x-1)=9x=2
2x+5(x-1)=9x is the equation. The x=2 is the solution.
2x+5x-5 = 9x
7x - 5 = 9x
2x = -5
x = -5/2, so the x=2 solution is wrong.
-----------------------------------------
B. p-3(p-5)=10
p=2.5
A solution wasn't asked for, so just sub 2.5 for p and see if it's equal. It obviously isn't, so this one is wrong too.
------------------------------------
C. 4y+3y=28
y=4
This one's right.
------------------
D. 5w+6w-3w=64
w=8
Wrong
-------------
E. t-2t-3t=32
t=8
Wrong
----------
Mary got 4 wrong, then thought only one was wrong. Mary needs help.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A. 2x+5(x-1)=9 ; x = 2

2x + 5x - 5 = 9
7x = 14
x = 14/7 = 2 ------ CORRECT

-----------------------------------------------
B. p-3(p-5)=10 ; p = 2.5
p - 3p + 15 = 10
- 2p = - 5
p = 2.5 ------ CORRECT

-----------------------------------------------
C. 4y+3y=28 ; y = 4
7y = 28
y = 28/7
y = 4 ------- CORRECT

-----------------------------------------------
D. 5w+6w-3w=64 ; w = 8
8w = 64
w = 64/8
w = 8 ------- CORRECT

------------------------------------------------
E. t-2t-3t=32 ; t = 8
- 4t = 32
t = 32/-4
t = - 8, not 8 ------ INCORRECT

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