Answer with explanation:
A)
No solution--
No solution is obtained when there is a condition such that the equation gives a absurd condition.
Hence we write our equation as:
2x+9+3x+x=6x+1
Hence, we have:
6x+9=6x+1
i.e. we have: 9=1
which is a contradiction.
Hence, we get no solution.
B)
One solution--
One solution or unique solution is obtained when we obtain a unique value for our given variable.
i.e. if we write our equation as:
2x+9+3x+x=5x+1
i.e. 6x+9=5x+1
i.e. x= -8
Hence, we get a unique value for x.
C)
Infinite many solution--
The infinite many solution is where we get a condition such that we could not get a unique value for x but the equation is true.
Hence, we have:
2x+9+3x+x=6x+9
i.e. 6x+9=6x+9
as left hand side of equation is equal to right hand side of the equation for every ''x'' Hence, we get infinite many solution.
