Answer:
m = 3.98 and n = 0.41 is the solution of the given expression.
Step-by-step explanation:
The given equation is −4m−5n=1−6m+12n=−18
consider −4m−5n = -18
and 1−6m+12n = -18 as two separate expressions
Simplifying the two equations, we get
4m + 5n =18 ........ (1)
and 6m - 12n = 19 ........ (2)
Multiplying (1) with 12 and (2) with 5 and add both equations, we get
48m + 60n +30m -60n = 216 + 95
or, 78m = 311
m = 311/78 = 3.98
putting m = 3.98 back in (1) , we get
4(3.98)+ 5n = 18
or, 5n = 18 - 15.94 = 2.05
so, n = 2.05/5 = 0.41
Hence, m = 3.98 and n = 0.41 is the solution of the given expression.
