a. 3x-4y=15
-2x+3y=-12
x=/15 -4/
/-12 3/
_________ =(45-48) / (9-8) = -3/1 =-3
/3 -4/
/-2 3/
y= /3 15/
/-2 -12/
________ = (-36-(-30)) / 1= -6/1 =-6
1
Prueba:
3x-4y=15 entonces: x = -3 y Y = - 6, reemplazando:
3(-3) - 4(-6) =15
-6 + 24 = 15
-2x+3y=-12
-2(-3) + 3(-6) = -12
6 + (-18) =-12
b.4m+9n=-25
3m-8n=18
m=/-25 9/
/18 -8/
__________= (200-162) / (-32-27) = 38/-59
/4 9/
/3 -8/
n=/4 -25/
/3 18 /
___________ = (72-(-75)) / -59 =147/-59
-59
Prueba:
4m+9n=-25
4(38/-59)+9(147/-59)=-25
152/-59 + 1323/-59 =-25
152+(1323)/-59 =-25
1475/-59 =-25
3m-8n=18
3(38/-59)-8(147/-59)=18
114/-59 - 1176/-59 =18
114-1176/-59=18
-1062/-59 =18
c.7a-10b=-64
5b+3a=19 NOTA: Para realizar el metodo de Crammer se debe ordenar el monomio
3a+5b=19
a=/-64 -10/
/19 5 /
___________ = (-320-(-190)) / 35-(-30) = -130/65 = -2
/7 -10/
/3 5 /
b=/7 -64/
/3 19/
__________ = (133-(-192)) / 65 = 325/65 = 5
65
Prueba:
7a-10b=-64
7(-2) -10(5)=-64
-14-50=-64
3a+5b=19
3(-2)+5(5)=19
-6+25=19
:D
