Problem

Solve the system of equations by graphing: \(y = 2x + 3\) and \(y = -x + 1\)

Answer

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Answer

Step 3: From the graph, we can see that the two lines intersect at the point \((x, y) = (-1, 1)\).

Steps

Step 1 ：Step 1: Draw the graph of each equation on the same set of axes. For \(y = 2x + 3\), the y-intercept is 3 and the slope is 2. For \(y = -x + 1\), the y-intercept is 1 and the slope is -1.

Step 2 ：Step 2: Identify the point where the two lines intersect. This point is the solution to the system of equations.

Step 3 ：Step 3: From the graph, we can see that the two lines intersect at the point \((x, y) = (-1, 1)\).

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