Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y = 12?

Solution:

Here we are dealing with linear equations with two variables x and y. Rewriting both the equations we have:

11x   −  y  =  − 1 ----------> (1)

11x   +  12y  =    12  ---------->  (2)

Solving equations simultaneously by subtracting (2) from (1) 
  11x   −  y      =  − 1        

  11x   + 12y  =    12  

  0     - 13y   =     -13

- 13y  =    -13

⟹  y   = 1       

Substituting the value of y in equation (1) we have

11x   − 1  =  − 1    

11x   =   -1 + 1 = 0

x = 0

The solution of the given system of linear equations is (0,1) and the required value of y = 1.

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Which value of y forms the solution of the system defined by y = 11x + 1 and 11x + 12y = 12?

Summary:

The value of y which forms the solution to the system defined by the linear equations y = 11x + 1 and 11x + 12y = 12 is 1