itskristall
itskristall itskristall
  • 12-01-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 12-01-2019

Answer:

(m, n) = ([tex]\frac{13}{5}[/tex], - [tex]\frac{2}{5}[/tex])

Step-by-step 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 = - [tex]\frac{2}{5}[/tex]

substitute this value into (3)

m = 3 - [tex]\frac{2}{5}[/tex] = [tex]\frac{13}{5}[/tex]


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