If m[-3,4]+n[4-3]=[10-11], then 3 m+7 n is equal to

Question

If m[-3,4]+n[4-3]=[10-11], then 3 m+7 n is equal to (A) 3 (B) 5 (C) 10 (D) 1

Tardigrade Admin · Accepted Answer

Given that, m[-3 4]+n[4 -3]=[10 -11] ⇒ [-3 m+4 n 4 m-3 n]=[10 -11] ⇒ -3 m+4 n=10 ....(i) and 4 m-3 n=-11 ....(ii) On solving equations (i) and (ii), we get n=1, m=-2 Now, 3 m+7 n=3(-2)+7(1)=1

Q. If $m [- 3, 4] + n [4 - 3] = [10 - 11]$ , then $3 m + 7 n$ is equal to

3

5

10

1

Given that,
$m [- 34] + n [4 - 3] = [10 - 11]$
$\Rightarrow [- 3 m + 4 n 4 m - 3 n] = [10 - 11]$
$\Rightarrow - 3 m + 4 n = 10 .... (i)$
and $4 m - 3 n = - 11 .... (ii)$
On solving equations (i) and (ii), we get
$n = 1, m = - 2$
Now, $3 m + 7 n = 3 (- 2) + 7 (1) = 1$

Q. If m[−3,4]+n[4−3]=[10−11], then 3m+7n is equal to

3

5

10

1

Given that, m[−34]+n[4−3]=[10−11] ⇒[−3m+4n4m−3n]=[10−11] ⇒−3m+4n=10....(i) and 4m−3n=−11....(ii) On solving equations (i) and (ii), we get n=1,m=−2 Now, 3m+7n=3(−2)+7(1)=1

Q. If $m [- 3, 4] + n [4 - 3] = [10 - 11]$ , then $3 m + 7 n$ is equal to

Given that,
$m [- 34] + n [4 - 3] = [10 - 11]$
$\Rightarrow [- 3 m + 4 n 4 m - 3 n] = [10 - 11]$
$\Rightarrow - 3 m + 4 n = 10 .... (i)$
and $4 m - 3 n = - 11 .... (ii)$
On solving equations (i) and (ii), we get
$n = 1, m = - 2$
Now, $3 m + 7 n = 3 (- 2) + 7 (1) = 1$