Math check
posted by Josh .
Decide whether each equation has one, no solutions, or infanatly many solutions
1.) 2(x  3) = 2x
One solution
no solutions
many solutions
infinatly many solutions
2.) 3(y  3?) = 2y  9 + y
One solution
no solutions
many solutions
infinatly many solutions
3.)10x  2  6x = 3x 2 + x
One solution
no solutions
infinatly many solutions
4.) 4(x + 3) + 2x = x  8
One solution
no solutions
infinatly many solutions
MY ANSWERS
1. D
2. A
3. B
4. C

1. Actually it's B.
Expanding,
2(x  3) = 2x
2x  6 = 2x
6 = 0
Note that if you get an answer like this (constant = zero), there is no solution.
2. It's D. (btw I don't know why you put question mark beside 3)
Expanding,
3(y  3) = 2y  9 + y
3y  9 = 3y  9
or
0 = 0
Note that if you get an answer like this (zero = zero), there are infinite solutions.
3. It's C.
Expanding,
10x  2  6x = 3x 2 + x
4x  2 = 4x  2
0 = 0
(infinite solutions)
4. It's A.
Expanding,
4(x + 3) + 2x = x  8
4x + 12 + 2x = x  8
6x + 12 = x  8
5x = 20
x = 4
(one solution)
I guess you have to study these topics.
Hope this helps :3 
Check your answers again.
1. 3 = 0?
2. 3y9 = 3y 9 (identity)
3. 4x2 = 4x2 (identity)
4. 6x+12 = x8
5x = 20 
Thank you Jai, I understand it all perfectly now.

7x+3=7x+b
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