For what value of m, the system of equations mx + 3y = m – 3 , 12x + my = m will have no solution?

Hope Roth

Hope Roth

Answered question

2023-03-25

For what value of m, the system of equations mx + 3y = m - 3 , 12x + my = m will have no solution?
A) -4
B) 4
C) -6
D) 6

Answer & Explanation

bootjietz0r

bootjietz0r

Beginner2023-03-26Added 7 answers

Step 1
The correct answer is C) -6
m 12 = 3 m ( m 3 ) m
m 2 = 36
m = ± 6 . . . . . ( 1 )
3 m = ± m ( m 3 )
3 m m 2 3 m
m ( m 6 ) 0
m 0   a n d   6..... ( 2 )
Step 2
So, from (1) and (2) m = -6

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