Solve the system of equations using the graphing method: \(y = 2x + 3\) and \(y = -x + 1\)
Answer
Step 4: The two lines intersect at the point (-1,1). So, the solution to the system of equations is (-1,1).
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).
