Answer:
No solutions: 6 - 3 + 4x + 1 =_4x + _2_
One solution: 6 - 3 + 4x + 1 = _3_x + _2_
Infinite many solutions: 6 - 3 + 4x + 1 = _4_x + _4_
Explanation:
No solutions means it results in no x and a false statement like 3 = 0.
One solution means it results in x = a number.
Infinite solutions means its results in no x and in a true statement like 3=3.
- So to get No solutions: 6 - 3 + 4x + 1 =_4x + _2_
This will eliminate the x and result in 4 = 2 which is false.
- One solution: 6 - 3 + 4x + 1 = _3_x + _2_
This will result in x= -2
- Infinite many solutions: 6 - 3 + 4x + 1 = _4x + 4__
This will eliminate the x and result in 4 = 4 which is true.