which system of equations can be graphed to find the solution(s) to $x^2 = 2x + 3$?

$\begin{cases} y = x^2 + 2x + 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 - 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 - 2x - 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 \\ y = 2x + 3 \end{cases}$

Question

which system of equations can be graphed to find the solution(s) to $x^2 = 2x + 3$?

$\begin{cases} y = x^2 + 2x + 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 - 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 - 2x - 3 \\ y = 2x + 3 \end{cases}$

$\begin{cases} y = x^2 \\ y = 2x + 3 \end{cases}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Graphical Solution of Equations", "System of Quadratic and Linear Equations" ], "new_concepts": [], "current_concepts": [ "Graphical Solution of Equations", "System of Quadratic and Linear Equations" ] } ## Identify the left and right sides of the equation $$ \begin{aligned} &\text{Left-hand side (LHS): } y = x^2 \ &\text{Right-hand side (RHS): } y = 2x + 3 \end{aligned} $$ ## Formulate the system of equations $$ \begin{cases} y = x^2 \ y = 2x + 3 \end{cases} $$

(A) $\begin{cases} y = x^2 + 2x + 3 \ y = 2x + 3 \end{cases}$

(B) $\begin{cases} y = x^2 - 3 \ y = 2x + 3 \end{cases}$

(C) $\begin{cases} y = x^2 - 2x - 3 \ y = 2x + 3 \end{cases}$

(D) $\begin{cases} y = x^2 \ y = 2x + 3 \end{cases}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Graphical Solution of Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the left and right sides of the equation

Formulate the system of equations

Answer: