The solution to the system of equations is infinite solutions.
Explanation:
The system of equations are [tex]y=3 x+2[/tex] and [tex]3 y=9 x+6[/tex]
To determine the solution of the equation using substitution method.
Let us substitute [tex]y=3 x+2[/tex] in the equation [tex]3 y=9 x+6[/tex] , we get,
[tex]3(3x+2)=9x+6[/tex]
Simplifying, we get,
[tex]9x+6=9x+6[/tex]
Since, both sides of the equation are same, the system of equations have infinitely many solutions.
The image of solution to the system of equations is attached in the graph below:
