Which graph represents the solution to the given system y = -5x- 2y + 2 = -5x
The given system of equations is y = -5x, 2y - 5x = -2.
To find the solution graphically, we can plot the two equations on a graph and find the point where they intersect.
The first equation, y = -5x, is a straight line with a slope of -5 and y-intercept of 0.
The second equation, 2y - 5x = -2, can be rewritten as 2y = 5x - 2 and then y = (5/2)x - 1.
Here is a graph of the two equations:
graph{0, x range = -10 to 10, y range = -10 to 10, x, -5x, (5/2)x - 1}
The solution to the system is the point where the two lines intersect, which is (0, 0).