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
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
5 answers
Check your answers again.
1. -3 = 0?
2. 3y-9 = 3y -9 (identity)
3. 4x-2 = 4x-2 (identity)
4. 6x+12 = x-8
5x = -20
1. -3 = 0?
2. 3y-9 = 3y -9 (identity)
3. 4x-2 = 4x-2 (identity)
4. 6x+12 = x-8
5x = -20
Thank you Jai, I understand it all perfectly now.
7x+3=7x+b
1)B
2)C
3)C
4)A
For the students that do not have 4 options for answers.
2)C
3)C
4)A
For the students that do not have 4 options for answers.