markandsebrina markandsebrina
  • 24-02-2022
  • Mathematics
contestada

Solve the given system by substitution.
-5m+n=-3
m-n=6

Respuesta :

chibabykalu16
chibabykalu16 chibabykalu16
  • 24-02-2022

Answer:

n =4.2

m = 10.2

Step-by-step explanation:

-5m+n=-3

m-n=6

[tex] - 5m + 6 = - 3 \: - - - - (1) \\ m - n = 6 - - - - - - (2) \\ from \: equation \: (2) \\ m= 6 + n \\ - 5(6 + n) + 6 = - 3 \\ - 30 - 5n + 6 = - 3 \\ - 5n = - 3 - 6 + 30 \\ - 5n = 21 \\ n = \frac{21}{ - 5} \\ n = 4.2 \\ n = 4.2 \: into \: (2) \\ m - n = 6 \\ m - 4.2 = 6 \\ m = 6 + 4.2 \\ m = 10.2[/tex]

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