Answer: The correct option is
(D)[tex]y=x^2\\\\y=2x+3[/tex]
Step-by-step explanation: We are given to select the correct system of equations that can be graphed to find the solution to the following quadratic equation :
[tex]x^2=2x+3[/tex]
Let us consider another variable y such that
[tex]y=x^2.[/tex]
Then, according to the given equation, we must have
[tex]y=2x+3.[/tex]
Therefore, the required system of equations is
[tex]y=x^2\\\\y=2x+3[/tex]
Thus, (D) is the correct option.