Question

How many solutions does this system have?

Answer 1

Well this does take some work on scratch paper but ill let you know that we have to plug these in to make one whole big equation 
lets do that!
x + 5 = -5x - 1 now add +1 to both sides of the equation 
   + 1 =       +1 it cancels out on the right side and we solve on the left 
*****************
x + 6 = -5x  Now lets subtract that(1x) from both sides 
-1x    = -1x ( if x stands alone, theres always an imaginary 1 right by it)
**************  now -5 - 1 = -6 so its -6x 
 6     =  -6x  Now divide both sides by -6 to isolate x to be alone 
÷-6   =  ÷6  It cancels out on the right side and we solve on the left
************ 6 ÷ -6 = 0  so lets see what we have 
 0    =   x 
Since zero is still a number this means there is only 1 solution!
Answer = A.) one 
I hope this helps! 
and dont forget 2 
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