Final answer:
To solve the system of equations by graphing, you need to graph the two equations on the same set of axes and find the point where the two lines intersect. The solution to the system of equations is x = -6 and y = -7.
Step-by-step explanation:
To solve the system of equations by graphing, you need to graph the two equations on the same set of axes and find the point where the two lines intersect. This point will represent the solution to the system of equations.
For the first equation, 3x + 7y = -63, we can rearrange it to solve for y: y = (-3/7)x - 9. This equation represents a line with a slope of -3/7 and a y-intercept of -9.
For the second equation, x - y = -1, we can rearrange it to solve for y: y = x + 1. This equation represents a line with a slope of 1 and a y-intercept of 1.
By graphing these two lines on the same set of axes, you will find that they intersect at the point (-6, -7). Therefore, the solution to the system of equations is x = -6 and y = -7.