The equation which has exactly one solution is [tex]\rm 3x+y = 6[/tex].
The equation which has exactly infinitely many solutions is [tex]\rm 6x + 2y = 12[/tex].
Given
Elena writes the equation 6x + 2y = 12.
1. When the system of the equation has exactly one solution?
An equation is said to have exactly when the set of the equation is met at the same point or has a unique point of intersection.
The equation which has the same point of intersection is;
[tex]\rm 6x + 2y = 12\\\\3x+y =6[/tex]
The equation which has exactly one solution is [tex]\rm 3x+y = 6[/tex].
2. When does the system of the equation has infinitely many solutions?
The equation is said to be infinitely many solutions when the system of the equation becomes;
[tex]\rm 0=0[/tex]
The system of the equation has infinitely many solutions with the points (1, 3).
The equation which has exactly infinitely many solutions i is [tex]\rm 6x + 2y = 12[/tex].
To know more about the System of equations click the link given below.
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