Answer: If the left side and the right side of the equation are equal, the equations has infinitely many solutions.
Step-by-step explanation:
The options are not clear, so I will give you a general explanation of the procedure you can use to solve this exercise.
The Slope-Intercept form of the equation of a line is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System of equations has Infinitely many solutions.
If you have the following system:
[tex]\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.[/tex]
You can simplify the second one:
[tex]y=2x+1[/tex]
Then, both equations are the same line.
By definition you can also write the systemf making both equations equal to each other:
[tex]2x+1=2x+1[/tex]
So, if the left side and the right side are equal, the equations has infinitely many solutions.
