Solve the system of linear equations below.

2x + 3y = 2
x + 6y = 4

Question

Solve the system of linear equations below.

2x  +  3y  =  2
  x  +  6y  =  4

anonymous · Answer

we will mark equation 1 as E1 and equation 2 as E2 
first we will switch E1 with E2 
2x + 3y = 2 
x + 6y = 4 

---> x + 6y = 4 
2x + 3y = 2 

now will do following E2=E2 - 2*E1 

----> x + 6y =4 ----> x + 6y = 4 
(2-2)x + (3-2*6)y =2 -2*4 0*x + -9y = -6 
now we will work only in the second equation 
-9y =-6 
y=6/9 =2/3 

we will insert it in 2x + 3y = 2 
2x +3 *(2/3) =2 
2x +2 =2 /-2 
2x=0 
x=0 
the solution will be (0,2/3)