estimate the solution to the system of these equation based on the graph
y = -x + 6
y = 3x - 2
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.