Problem

Use a graphing calculator to solve the system of equations below. Round your solution to the nearest hundredth. \[ \begin{array}{l} y=\frac{1}{3} x+4 \\ y=x^{2}+4 x-2 \end{array} \] Select ALL that apply.

Solution

Step 1 :The problem is asking to solve the system of equations. This means we need to find the values of x and y that satisfy both equations. We can solve this problem by graphing the two equations and finding their intersection points.

Step 2 :The system of equations is given by \[\begin{array}{l} y=\frac{1}{3} x+4 \\ y=x^{2}+4 x-2 \end{array}\]

Step 3 :We find the intersection points of these two equations, which are the solutions to the system of equations.

Step 4 :The solutions to the system of equations are \((-4.89, 2.37)\) and \((1.23, 4.41)\).

Step 5 :\[\boxed{\text{The solutions to the system of equations are } (-4.89, 2.37) \text{ and } (1.23, 4.41)}\]

From Solvely APP
Source: https://solvelyapp.com/problems/14352/

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