Question

Please I need help, I will mark the brainliest to the brainliest answer lol
mx-6y=10
2x-ny=5
In the system of equations above, m and n are constant.
If the system has infinitely many solutions, what is the value of m/n?

Answer 1

Answer:

m=16

n=(-3)

Step-by-step explanation:

Answer 2

Given :   mx-6y=10 , 2x-ny=5 , m and n are constant. and system has infinitely many solutions,

To find : what is the value of m/n

Solution:

a₁x + b₁y +  c₁ = 0

a₂x + b₂y + c₂ = 0

system of equations have infinite solution

if  a₁/a₂ = b₁/b₂  = c₁ /c₂

mx-6y=10  =>  mx  - 6y  - 10  = 0

2x-ny=5    =>  2x   - ny   - 5  = 0

=>  m/2   =  (-6)/(-n)  =  -10/(-5)

=>  m/2  =  6/n   =   2

m/2 = 2  => m = 4

6/n = 2  => n = 3

 m/n  = 4/3

value of m/n = 4/3

Learn More:

Find the values of m and n for wch the following system of linear ...

https://brainly.in/question/3589911

Check the system of equations 3x/2+5y/3=7; 9x -10y=12 has a ...

https://brainly.in/question/1754479