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]