Answer:
Step-by-step explanation:
we have the set
[tex]3m+4n = 2\\\\5m-4n = 14[/tex]
add them both
[tex](3m+4n)+(5m-4n) = 2+14\\\\(3m+5m)+(4n-4n) = 16\\\\8m=16\\\\m = \frac{16}{8}\\\\m = 2[/tex]
now plug in m = 2 in equation 1 (it could aso be equation 2)
[tex]3m+4n = 2\\\\3(2)+4n = 2\\\\6+4n = 2\\\\4n = 2-6\\\\4n = -4\\\\n = -1[/tex]
so the solution is
m = 2
n = -1
