Answer: " M = 9 ; N = 45 " .
_____________________________________________________
Note: Assume that "n" = "N' ; that is, "assume that "N" is another way to write: "n" ;
→ n = 5 M ;
→ n = 36 + M ;
________________________________________
Find "n" and "m" ;
Note: n = 5 M = 36 + M ;
→ 5 M = 36 + M ;
Subtract "M" from EACH SIDE of the equation ;
→ 5 M − M = 36 + M − M ;
to get:
→ 4 M = 36 ;
Now, divide EACH SIDE of the equation by "4" ;
→ 4 M / 4 = 36 / 4 ;
to get:
→ M = 9 ;
The value of "M" = 9 ;
Now, let us find the value for "N" ;
Note: " n = 5 M = 36 + M " ;
1) n = 5 M ; Our calculated value for "M" is "9" ;
so, we plug in "9" for "M" ; to solve for "N" ;
N = 5(9) = 45 ;
N = 45 ;
2) We can "check our answer", as follows:
→ Note: " n = 5 M = 36 + M " ;
N = 36 + M ; We have calculated "N" to be "45" .
We have calculated "M" to be "9" ;
So, when we plug in "9" for "M" in this equation; our value for "N" should be:
"45" ;
N = 36 + 9 ;
N = 45 ? Yes!
______________________________________
So, the answer is: " M = 9 ; N = 45 " .
______________________________________
