The solution to the system of equations, y = -2x and y = 1/2x - 5, is solved graphically to be (2, -4) as shown in the image attached below.
How to Solve a System of Equations by Graphing?
To solve a system of equations by graphing, plot both lines of the equations on a coordinate plane to determine the coordinates of the point where both lines intersect each other.
The solution is the point where they intersect.
Given the system of equations:
y = -2x
y = 1/2x - 5
The graph in the attachment shows the line of y = -2x (red line), and that of y = 1/2x - 5 (blue line).
Both lines intersect at point (2, -4). Therefore, the solution to the system of equations is: (2, -4).
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