bewellplus.gsu.edu
Caseylynn Caseylynn
  • 28-08-2015
  • Mathematics
Answered

Solve system by substitution

-5x+3y=12

-6x+y=-4

Verified Answer :

crisforp
crisforp crisforp
  • 28-08-2015

-6x + y = - 4  / + 6x ;
y = 6x - 4 ;
We substitute y in first equation : -5x + 3( 6x - 4 ) = 12;
-5x + 18x - 12 = 12 ;
13x - 12 = 12 ;
13x = 24 ;
x = 24 / 13 ;
y = 6*(24 / 13 ) - 4 ;
y = 144 / 13 - 4 ;
y = 144 / 13 - 52 / 13;
y = 92 / 13 ;
The solution is x = 24 / 13 and y = 92 / 13 ;

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