Answer:
There will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.
Step-by-step explanation:
We need to determine how many solutions the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex] have.
Solving the equation and finding the solutions
[tex]9x - 4 = - 3x + 5 + 12x[/tex]
Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.
[tex]9x +3x-12x = 5 + 4[/tex]
Simplifying
[tex]12x-12x = 9\\0=9[/tex]
Solving the equation we get 0=9 which is false. So, there will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.