Question 185799
1)Solve each system by the substitution method.If there is no solution or an infinite number of solutions, so state, and use set of notation to express solution set: 
x/4-y/4 = -1 
x+4y = -9
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Modify the 1st equation.
x - y = -4
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Substitute x = -9-4y into that equation to solve for "y"
-9-4y-y= -4
-5y = 5
y = -1
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substitute that into x = -9-4y to solve for "x"
x = -9 -4*-1 =  -5
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2)Solve each system or state that the system is inconsistent or dependent.
x/2 = (y+8)/4
(x+3)/2= (y+5)/4 
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Modify both equations:
2x = y+8
2(x+3) = y+5
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Simplify:
x = (y+8)/2
2x + 6 = y+5
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Substitute into the 2nd equation to solve for "Y":
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2[(y+8)/2] + 6 = y+5
y+8 + 6 = y = 5
14 = 5
Contradiction:
No solution
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Cheers,
Stan H.