anonymous12345678901
anonymous12345678901 anonymous12345678901
  • 23-01-2018
  • Mathematics
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7x-6y=14
6x-y=-17

3x+8y=16
-9x-24y=-48

Please solve by substitution

Respuesta :

Аноним Аноним
  • 23-01-2018
7x-6y=14
6x-y=-17
x = -4  y = -7 (SOLUTION) ; in ordered pair form (x,y) = (-4,-7)

3x+8y=16
-9x-24y=-48
INFINITE SOLUTIONS: general form = (x,y) = ( x, -(3x/8)+2 )


Edited later:
7x-6y=14
6x-y=-17
From second equation 6x - y = -17, we have y = 6x +17. Substitute this in the first equation to get
7x-6y=14
>> 7x-6(6x+17)=14
>> 7x-36x-102=14
>> 7x-36x=102+14
>> -29x=116
>> x=116/(-29)
>> x=-4

Now plug this value in y = 6x +17, to get
y = 6(-4) + 17 = -24 +17 = -7

So x = -4, y = -7 is the solution.
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