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-4x-2y=-8
y=-2x+4
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The conclusion and the answer in the post by @mananth both are incorrect.
His answer is " There is no solution to this system ".
The correct answer is OPPOSITE : there are infinitely many solutions to this system.
Indeed, the first equation can be equivalently transformed/re-written
-4x - 2y = -8,
4x + 2y = 8,
2x + y = 4,
y = -2x + 4.
Then you see that this transformed equation is IDENTICAL to the second equation.
Thus the system consists of two equivalent equation - such systems have infinitely many solutions.
You can take any value for 'x' and calculate the relevant value of 'y'.
Then the pair (x,y) will be solution for both equations,
and doing this way, you get infinitely many solutions.
Again, the answer in the post by @mananth is INCORRECT.
The correct answer is OPPOSITE.
