What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?

m ≠1  ( all m in R  except 1 )

Step-by-step explanation:

hello :

mx − y + 3 = 0(*)

(2m − 1)x − y + 4 = 0 (**)

multiply (*) by : -1       you have :   -mx+y-3=0   (***)

                                                    (2m − 1)x − y + 4 = 0 (**)

add(***) and(**)  : -mx+ (2m − 1)x+1 =0

(2m-m-1)x+1=0

(m-1)x = -1

this system have no solution  if : m-1≠0   means : m ≠1

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step-by-step explanation:

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