Question

solve the following simultaneous equation 10m+2n .4 ,4m+n 3​

Answer 1

10m + 2n = 4 (equation 1 )

4m + n = 3 (equation 2)

Multiply (equation 2 ) by 2 :

4×2 m + 1 × 2 n = 3 × 2

8m + 2n = 6 ( equation 3 )

Subtract (equation 3 ) from (equation 1)

10m + 2n = 4

- - -

8m + 2n = 6

_____________

2m = -2

______________

2m = - 2

m = -2 / 2

m = -1

Now, Put "m" value in (equation 1) to find value of 'n' :

10m + 2n = 4

10 (-1 ) + 2n = 4

-10 + 2n = 4

2n = 4 + 10

2n = 14

n = 14 / 2

n = 7

Value of m = -1

Value of n = 7