Question

Estimate the solution to the system of these linear equations based on the graph.

У = —x + 6
y = 3х - 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the equations provided, the system can be solved graphically by finding the point of intersection.

The first equation, y = -x + 6, has a y-intercept of 6 and a slope of -1 (1 unit decrease in y for each 1 unit increase in x).

The second equation, y = 3x - 2, has a y-intercept of -2 and a slope of 3 (3 units increase in y for each 1 unit increase in x).

Plotting both lines on a graph, they intersect at the point (2, 4). Therefore, the estimated solution to the system of linear equations is x = 2 and y = 4.