SOLUTION: Solve by the elimination method. 0.3x - 0.2y = 4 0.5x + 0.5y = 45/23 (fraction) What is the solution of the system? (Type an ordered pair. Type an integer or a fraction. Type N

Algebra ->  Equations -> SOLUTION: Solve by the elimination method. 0.3x - 0.2y = 4 0.5x + 0.5y = 45/23 (fraction) What is the solution of the system? (Type an ordered pair. Type an integer or a fraction. Type N      Log On


   

Question 164242: Solve by the elimination method.
0.3x - 0.2y = 4
0.5x + 0.5y = 45/23 (fraction)
What is the solution of the system?
(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solution.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.0.3x+-+0.2y+=+4
2.0.5x+%2B+0.5y+=+45%2F23
Multiply eq.1 by 5 and eq. 2 by 2 and add them,
5%280.3x-0.2y%29%2B2%280.5x%2B0.5y%29=5%284%29%2B2%2845%2F23%29
1.5x-y%2Bx%2By=20%2B90%2F23
2.5x=460%2F23%2B90%2F23
%285x%29%2F2=550%2F23
x=%28550%2F23%29%282%2F5%29
x=220%2F23
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.
.
From 2,
2.0.5x+%2B+0.5y+=+45%2F23
x%2By=90%2F23
220%2F23%2By=90%2F23
y=-130%2F23
.
.
.
(x,y)=(220/23,-130/23)