Question

Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16

Answer 1

`(1)/(10)`

Explanation:

`m-6(n+2)=-8\\6n+m=16`

Rearrange the second equation and substitute it into the first equation.

`m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1`

Now we can use our value of n, and substitute it into the second equation to solve for m.

`6(1)+m=16\\6+m=16\\m=10`

Now we can divide our values.

`(n)/(m)=(1)/(10)`