SOLUTION: solve each equation by addition method x/2+y/4=1 -x/4-y/8=1

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Question 1000483: solve each equation by addition method
x/2+y/4=1
-x/4-y/8=1
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%2F2%2By%2F4=1.....eq.1..........both sides divide by 2
-x%2F4-y%2F8=1.......eq.2
------------------
x%2F4%2By%2F8=1%2F2.....eq.1
-x%2F4-y%2F8=1.......eq.2
----------------------------add both eq.1 and eq.2
x%2F4%2By%2F8-x%2F4-y%2F8=1%2F2%2B1
cross%28x%2F4%29%2Bcross%28y%2F8%29-cross%28x%2F4%29-cross%28y%2F8%29=1%2F2%2B2%2F2
0%3C%3E3%2F2=> there is no solution; lines are parallel to each other,this system is inconsistent
+graph%28+600%2C+600%2C+-10%2C10%2C+-10%2C+10%2C+-2x%2B4%2C+-2x%2B8%29+

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
solve each equation by addition method
x/2+y/4=1
-x/4-y/8=1
Simply multiply each equation by its LCD

   x%2F2+%2B+y%2F4+=+1 -------- eq (i)

%28-+x%29%2F4+-+y%2F8+=+1 -------- eq (ii)

  2x + y = 4 ----- Multiplying eq (i) by LCD, 4

- 2x - y = 8 ----- Multiplying eq (ii) by LCD, 8

 0+%2B+0+%3C%3E+12 ------> False, so NO SOLUTION