Question

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

Answer 1

m ≠1 ( all m in R except 1 )

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