Problem

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

Solution

Step 1 :Step 1: Graph both equations on the same axes. The point where the two lines intersect is the solution to the system of equations.

Step 2 :Step 2: For \(y = 2x + 3\), the y-intercept is 3 and the slope is 2. So, start at the point (0,3) and for every step you take to the right, go two steps up. Draw the line.

Step 3 :Step 3: For \(y = -x + 1\), the y-intercept is 1 and the slope is -1. Start at the point (0,1) and for every step you take to the right, go one step down. Draw the line.

Step 4 :Step 4: The two lines intersect at the point (-1,1). So, the solution to the system of equations is (-1,1).

From Solvely APP
Source: https://solvelyapp.com/problems/4P31YNBaiw/

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