SOLUTION: <pre> ? + ? = 8 + + ? - ? = 6 &#8741; &#8741; 13 8</pre>

Algebra ->  Sequences-and-series -> SOLUTION: <pre> ? + ? = 8 + + ? - ? = 6 &#8741; &#8741; 13 8</pre>      Log On


   

Question 1043775: 
 ?  +  ?  = 8
 +     +
 ?  -  ?  = 6 
 ∥     ∥
13     8
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


 ?  +  ?  = 8
 +     +
 ?  -  ?  = 6 
 ∥     ∥
13     8

 X  +  Y  = 8
 +     +
 U  -  V  = 6 
 ∥     ∥
13     8

system%28X%2BY=8%2CU-V=6%2CX%2BU=13%2CY%2BV=8%29

           U=13-X
           V=8-Y
         U-V=6
(13-X)-(8-Y)=6
    13-X-8+Y=6
       5-X+Y=6
        -X+Y=1
         X+Y=8
------
          2Y=9
           Y=4.5
         X+Y=8
       X+4.5=8
           X=3.5
           U=13-X
           U=13-3.5
           U=9.5
           V=8-Y
           V=8-4.5
           V=3.5

  3.5 + 4.5 = 8
   +     +
  9.5 - 3.5 = 6 
   ∥     ∥
  13     8

Edwin