Question

5m-3n=9 ; m-6n=-7 solve

Answer 1

5m -3n =  9  ............. (1)

m -6n = -7 ................(2)

now multiply (1) eq. by 2 and subtract (2) from (1) 

10m -6n =18

m- 6n = -7

9m = 25

m= 25/9


now substitute m value in (2) eq.

$\frac{25}{9}$ - 6n = -7

6n =$\frac{25}{9} +7$

n= $( \frac{44}{9} ) \frac{1}{6}$

n = 44/27

Answer 2

SOLTUTION :-


$5m - 3n = 9........(1) \\ m - 6n = - 7.........(2) \\ by \: eq(1) \\ m = - 7 + 6n \\ puting \: vlue \: in \: eq(1) \\ 5 \times ( - 7 + 6n) - 3n = 9 \\ - 35 + 30 n - 3n = 9 \\ 27n = 9 + 35 \\ n = \frac{44}{27 } \\ in \: puting \: vlue \: eq(2) \\ m - 6 \times \frac{44}{27} = - 7 \\ m = - 7 + \frac{132}{9} \\ m = \frac{ - 63 + 132}{9 } \\ m = \frac{69}{9 } \\ m = \frac{23}{3}$