Estimate the solution to the system of these linear equations based on the graph. y=−5x+7 y=−2x+10
A. (-1, 12)
B. (-1, -12)
C. (1, -12)
D. (12, -1)
To estimate the solution to the system of equations, we need to find the point where the two lines intersect on the graph. The lines have equations y = -5x + 7 and y = -2x + 10.
By comparing the coefficients of x, we can see that -5 is smaller than -2. This means that the line y = -5x + 7 is steeper (or has a greater slope) than the line y = -2x + 10.
Since the lines have different slopes, they will intersect at a single point. By looking at the graph, we can see that the intersection point appears to be around (-1, 12).
Therefore, the estimated solution to the system of equations is (A) (-1, 12).