Question

which system of equations can be graphed to find the solution(s) to \\(4x^2 = x^2 + 7\\)?

\\(\

$$\begin{cases} y = 3x^2 \\\\ y = x^2 + 7 \\end{cases}$$

\\)

\\(\

$$\begin{cases} y = 3x^2 + 7 \\\\ y = x^2 + 7 \\end{cases}$$

\\)

\\(\

$$\begin{cases} y = 4x^2 \\\\ y = x^2 + 7 \\end{cases}$$

\\)

\\(\

$$\begin{cases} y = 4x^2 \\\\ y = 4x^2 + 7 \\end{cases}$$

\\)

Explanation:

Set each side of the equation equal to y

Using the Systems of Equations from Single Equations and Graphical Solution of Equations knowledge points

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Match with the given options

Using the Systems of Equations from Single Equations knowledge point

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Answer:

• (A) \(

$$\begin{cases} y = 3x^2 \\ y = x^2 + 7 \end{cases}$$

\)

• (B) \(

$$\begin{cases} y = 3x^2 + 7 \\ y = x^2 + 7 \end{cases}$$

\)

• **(C) \(

$$\begin{cases} y = 4x^2 \\ y = x^2 + 7 \end{cases}$$

\) (Correct answer)**

• (D) \(

$$\begin{cases} y = 4x^2 \\ y = 4x^2 + 7 \end{cases}$$

\)