Answer:
C. infinite
Step-by-step explanation:
We want to solve the system:
First equation: [tex]y=2x+3[/tex]
Second equation: [tex]2y=4x+6[/tex]
Multiply the first equation by 2.
This gives us:
Third equation: [tex]2y=4x+6[/tex]
Subtract the third equation to obtain;
[tex]2y-2y=4x-4x+6-6[/tex]
[tex]0=0[/tex]
This implies that, the solution is all real numbers.
This means that the two lines coincide with each other. Therefore there are infinitely many solutions.
