Question

Encuentra el valor de m y n
3m+2n= 6.5
3m+ n= 8

Answer 1

$3m + 2n = 6.5 \\ 3m + n = 8 \\ \\ 3m + 2n = 6.5 \\ 3m = 8 - n \\ \\ 8 - n + 2n = 6.5 \\ \\ n = - 1.5 \\ \\ 3m = 8 - ( - 1.5) \\ \\ m = \frac{19}{6} \\ \\ (m,n) = ( \frac{19}{6} , - 1.5) \\ \\ (m,n) = ( \frac{19}{6} , - \frac{3}{2} ) \\ \\ 3 \times \frac{19}{6} + 2 \times ( - \frac{2}{3} ) = 6.5 \\ 3 \times \frac{19}{6} - \frac{3}{2} = 8 \\ \\ \frac{13}{2} = \frac{13}{2} \\ 8 = 8 \\ \\ (m,n) = ( \frac{19}{6} , - \frac{3}{2} )$