Question

9x+11y=14 6x-5y=-34 igualacion reduccion de termino

Answer 1

Despejamos x en:
9x+11y=14 donde x=(14-11y)/9
Despejamos x en:
6x-5y= -34 donde x= (-34+5y)/6
Igualamos.
(14-11y)/9=( -34+5y)/6
6(14-11y)=9( -34+5y)
84-66y= -306+45y
306+84=66y+45y
390=111y y=390/111
y=130/37 encontramos x en:
9x+11(130/37)=14
9x+1430/37=14
9x=14-1430/37 9x=(518-1430)/37
9x= -912/37 x= -912/(37)(9)
x= -912/333 x= -304/111
Comprobamos.
9(-304/111)+11(130/37)=14
-2736/111+1430/37=14
(-2736+4290)/111=14
1554/111=14 1554/111=14
Los números son (x) = -304/111
(y)= 130/37