Question

How many solutions are there for 6x+35+9x=15(x+4)-25

Answer 1

there is infinite many solutions for this answer.

Answer 2

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.