Question

Resolver por el mètodo de igualaciòn
$\left \{ {{m+3n=6} \atop {5m+2n=13}} \right. \left \{ {{2z+t=1} \atop {3z+2t=2}} \right.$

Answer 1

m+3n=6
5m+2n=13

---> m=6-3n
      m=(13-2n)/(5)

--->6-3n=(13-2n)/(5)
        30-15n=13-2n
         30-13=15n-2n
          17=13n
             n=17/13
---> m= 6 -3 (17/13)=  78/13 -51/13 = 27/13

--------------------------------------------------------------

2z+t=1
3z+2t=2

t=1-2z
t=(2-3z)/(2)

1-2z=(2-3z)/(2)
2-4z=2-3z
2-2=4z-3z
0=z

---> t=1-2(0)=1