estimate the solution to the system of these equation based on the graph

y = -x + 6
y = 3x - 2

Bot GPT 3.5 Bot GPT 3.5 answered

The solution to the system of equations based on the graph appears to be the point of intersection between the two lines.

The first equation y = -x + 6 has a y-intercept of 6 and a slope of -1, meaning it goes down 1 unit for every 1 unit it moves to the right.

The second equation y = 3x - 2 has a y-intercept of -2 and a slope of 3, meaning it goes up 3 units for every 1 unit it moves to the right.

Based on the graph, the lines intersect around the point (2, 4). Therefore, the estimated solution to the system of equations is x = 2 and y = 4.