breannaeskridg breannaeskridg
  • 07-06-2018
  • Mathematics
contestada

What is the solution of this system of linear equations?

3y = x + 6

y – x = 3

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mkryukova19 mkryukova19
  • 07-06-2018
3y = x + 6
y – x = 3 ----------->  x=y - 3 (substitute in 1st equation)

3y = y - 3 +6
3y - y = 3
2y = 3
y = 2/3

x= y - 3 = 2/3 -3 = 2/3 - 9/3 =  - 7/3

x= - 7/3, y = 2/3


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Аноним Аноним
  • 07-06-2018
3y = x + 6
y = x + 3   Subtract:-

2y = 0 + 3
y =  3/2 = 1.5

Plug this value of y into the first equation:-

3(1.5) = x + 6
x = 4.5 - 6 = -1.5

Answer is x = -1.5, y = 1.5
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