Answer: The given equation has an infinite number of solutions.
Step-by-step explanation: We are given to find the number of solutions for the following linear equation :
\(6x+35+9x=15(x+4)-25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
To find the number of solutions, we must try to solve the given equation.
The solution of equation (i) is as follows :
\(6x+35+9x=15(x+4)-25\\\\\Rightarrow 15x+35=15x+60-25\\\\\Rightarrow 15x+35=15x+35\\\\\Rightarrow 15x-15x=35-35\\\\\Rightarrow 0=0,\)
which is always TRUE.
Thus, the given equation has an infinite number of solutions.
