if (3m+1)x +n+5=7x +4 has infinite solutions then m=?,n=?

2018-01-16 7:36 pm

回答 (3)

2018-01-16 8:29 pm
✔ 最佳答案
The condition "infinite solutions" means that
y = (3m + 1)x + n + 5 …is exactly identical to
y = 7x + 4, so, by comparison,
3m + 1 = 7, so m = 3
n + 5 = 4, so, n = - 1
2018-01-16 7:39 pm
If (3m + 1)x + n + 5 = 7x + 4 has infinite solutions, then
3m + 1 = 7 …… [1]
n + 5 = 4 …… [2]

From [1] :
3m = 6
m = 2

From [2] :
n + 5 = 4
n = -1
2018-01-16 7:52 pm
If (3m+1)x +n+5=7x +4 has infinite solutions
Then (3m+1)x =7x and n+5=4
When
(3m+1)x =7x then 3m+1=7
3m =6 hence m=6/2=3
n+5=4 then n= -1


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