Well first, you have to get both equations to the y= form
y=mx+b
X=-5-y add y to x
y+x=-5 then subtract x
y=-x-5 is your equation
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for the second one:
2+y=-x+3 subtract 2
y=-x+1 is your equation
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Take both equations and compare:
Both the slopes are the same of -x, so that means the will lines never touch (also because of different y intercept)
So, the answer is parallel.
