Estimate the solution to the system of these linear equations based on the graph. Y = 2x +3 and Y= 1/2x +6
Based on the graph of the two linear equations:
- Y = 2x + 3 is represented by a line with a positive slope that intersects the y-axis at 3.
- Y = 1/2x + 6 is represented by a line with a smaller positive slope that intersects the y-axis at 6.
Since the two lines intersect, the system of equations has a solution. The intersection point appears to be around (2, 7) based on the graph. Therefore, the estimated solution to the system of equations is x ≈ 2 and y ≈ 7.