zaitunamukasa09 zaitunamukasa09
  • 23-05-2024
  • Mathematics
contestada

4m+4n=6
10m+2n=7 evaluate by substitution

Respuesta :

olumideolawoyin
olumideolawoyin olumideolawoyin
  • 23-05-2024

Answer:

m = 1/2

n = 1

Step-by-step explanation:

4m + 4n = 6 ... (1)

10m + 2n = 7 ...(2)

From (1),

4m + 4n = 6

2(2m + 2n ) = 6 Divide both sides by 2

2m + 2n = 3

2n = 3 - 2m ...(3)

Substitute (3) in (2)

Therefore,

10m + 3 - 2m = 7

10m - 2m = 7 - 3

8m = 4 Divide both sides by 8

m = 4/8 = 1/2

m = 1/2

Substitute m = 1/2 in (3)

2n = 3 - 2(1/2)

2n = 3 - 1

2n = 2 Divide both sides by 2

n = 1

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