solve using the elimination m - 2n = 16 and 4m + n = 1

Question

m - 2n = 16

4m + n = 1

use elimination method

Answer 1

Elimination method

Given equation m-2n = 16 ----------> (1)

4m+n = 1

Muliple to each side by 2.

8m+2n = 2 ---------> (2)

To eliminate the n value ,add the equations (1) and (2).

m-2n = 16

8m+2n = 2

_________

9m = 18

Divide to each side by 9.

9m/9 = 18/9

⇒ m =2

Substitue the value of m in equation (1).

2-2n =16

Subtract 2 from each side.

2-2-2n = 16-2

-2n = 14

Divide to each side by negitive 2.

-2n/-2 = 14/-2

⇒ n =-7

Solution m =2, n = -7.