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-4x + y = -4 ---(1)
-4x - y = -4 ---(2)
Add equations (1) and (2)
-8x = -8
x = (-8)/(-8)
x = 1
Substitute value of x in equation (1)
-4*1 + y = -4
-4 + y = -4
y = -4 + 4
y = 0
So the system of equations has a unique solution
and the solution is (1, 0).
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-2x + y = -8 ---(1)
2x = 8 + y ---(2)
From equation (2)
2x - y = 8
Multiply both sides by -1
-2x + y = -8
So both equations represent the same line and all the points on the line is a solution.
Hence the system of equations has infinitely many solutions.
They must satisfy y = 2x - 8
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