Question

M-n=3......2m+3n=4.....its a simultaneous equation

Answer 1

(m, n) = (
`(13)/(5)`, -
`(2)/(5)`)

Explanation:

given the 2 equations

m - n = 3 → (1)

2m + 3n = 4 → (2)

rearrange (1) expressing m in terms of n by adding n to both sides

m = 3 + n → (3)

substitute m = 3 + n into (2)

2(3 + n) + 3n = 4

6 + 2n + 3n = 4

6 + 5n = 4 ( subtract 6 from both sides )

5n = - 2 ( divide both sides by 5 )

n = -
`(2)/(5)`

substitute this value into (3)

m = 3 -
`(2)/(5)` =
`(13)/(5)`