Answer
m=2.5
Work Step by Step
You are given $\sqrt (3m+1)$=$\sqrt (7m-9)$.Solve for N:
$\sqrt (3m+1)$=$\sqrt (7m-9)$ -square both sides-
$\sqrt (3m+1$$)^{2}$=$\sqrt (7m-9$$)^{2}$
3m+1=7m-9
-4m+1=-9
-4m=-10
2.5=m
The final solution is m=2.5