SOLUTION: solve by elimination, to include solution (if any) and ordered pair 0.05x+0.25y=11 0.15x+0.05y=12

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Question 430004: solve by elimination, to include solution (if any) and ordered pair
0.05x+0.25y=11
0.15x+0.05y=12
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

solving by elimination

0.05x+0.25y=11

0.15x+0.05y=12



-0.01x -0.05y= -11/5    |dividing 1st EQ thru by -5 to eliminate y

 0.15x +0.05y= 12

     .14x = 9.8

        x = 70  and y = 30    (12-10.5)/.05 = 30



CHECKING our Answer***

  .05*70 + .25*30 = 3.5 + 7.5 =   11

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +.05x%2B+.25y+=+11+
(2) +.15x%2B+.05y+=+12+
Multiply both sides of (1) and (2) by 100
(1) +5x%2B+25y+=+1100+
(2) +15x%2B+5y+=+1200+
Multiply both sides of (2) by 5
and subtract (1) from (2)
(2) +75x%2B+25y+=+6000+
(1) +-5x+-+25y+=+-1100+
+70x+=+4900+
+x+=+70+
And
(1) +5%2A70+%2B+25y+=+1100+
(1) +350+%2B+25y+=+1100+
(1) +25y+=+1100+-+350+
(1) +25y+=+750+
+y+=+30+
(70,30) answer