Answer:
One solution.
Step-by-step explanation:
Given that the equation is:
[tex]3(y+9)=12y+13[/tex]
To find:
The number of solutions of the given equation = ?
Solution:
First of all, let us learn a concept for number of solutions of a polynomial.
Number of solutions of a polynomial is equal to its degree.
Degree means the highest power of the variable.
Here, the variable is [tex]y[/tex] and it is observable that the highest power of
Therefore, only one solution will be there for the given equation.
Solving the equation:
[tex]3(y+9)=12y+13\\\Rightarrow 3y+27=12y+13\\\Rightarrow 12y-3y=27-13\\\Rightarrow 9y =14\\\Rightarrow \bold{y = \dfrac{14}{9}}[/tex]
The one solution is [tex]\bold{y=\frac{14}{9}}[/tex].
Hence, only one solution.
