Hi,

the linear system is the system of the following Linear equations:

x-2y=8

x+y=2

What You are looking for is the solution for this system of Equations

Solving using the Elimination Method

 x-2y=8

-x-y=-2    |Multiplying 2nd Eq thru by -1 to eliminate x

   -3y = -10

     y = 10/3  an x = -4/3   | x+y=2,  x = 2-(10/3)

Solution for this System is the ordered pair (-4/3,10/3)

CHECKING our Answer***

    x  +   y    = 2

  (-4/3)+ 10/3 = 6/3 = 2



 

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