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That equation has no "solution" ... no single pair of numbers for 'x' and 'y' that makes it true.
In fact, it has an infinite number of them.
Here are a few:
x=1, y=-4
x=2, y=-9
x=-3, y=16
y = -5x + 1 is the equation of a line.
Every point on the line has the coordinates (x,y), and every point satisfies the equation.
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