dmah198248
dmah198248 dmah198248
  • 30-06-2021
  • Mathematics
contestada

Solve the given system by the substitution method.
3x + y = 8
7x - 4y = 6​

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Аноним Аноним
  • 30-06-2021

Answer:

[tex]{ \tt{y = 8 - 3x}} - - - (i) \\ \\ = > 7x - 4(8 - 3x) = 6 \\ 7x - 32 + 12x = 6 \\ 19x - 32 = 6 \\ 19x = 38 \\ x = 2 \\ \\ = > y = 8 - 3(2) \\ y = 2[/tex]

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763396
763396 763396
  • 30-06-2021
3x+y=8, so
y=8-3x (rearranged)

7x-4y=6
7x-4(8-3x)=6 (substitute the value of y with 8-3x)
7x-32+12x=6
19x=38
x=2

y=8-3(2)
y=2
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