what system does it represent and what is the solution of this system
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We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.