Question

Pela Regra de Cramer, resolva o sistema linear:

Answer 1

Resposta:

S={( 120 ; 80 )}

Explicação passo-a-passo:

x+y=200

5x+10y=1400

D:

(1 1)

(5 10)

D=10×1-5×1

D=10-5

D=5

Dx:

(200 1)

(1400 10)

Dx=200×10-1400×1

Dx=2000-1400

Dx=600

___

(1 200)

(5 1400)

Dy=1×1400-5×200

Dy=1400-1000

Dy=400

___

X=Dx/D

X=600/5

X=120

Y=Dy/D

Y=400/5

Y=80

__

Verificando :

x+y=200

120+80=200

200=200

ok!

5x+10y=1400

5.(120)+10.(80)=1400

600+800=1400

1400=1400

ok!

Espero ter ajudado!