Which system of equations has no solutions
A. 3x + 4y = 5
6x + 8y = 10

B. 7x - 2y = 9
7x - 2y = 13

C. 2x - y = -11
-2x + y = 11

D. 3x + 6y = 1
x + y = 0

Respuesta :

Answer:

Step-by-step explanation:

3x+4y=5

6x+8y=10

---------------

-2(3x+4y)=-2(5)

6x+8y=10

----------------

-6x-8y=-10

6x+8y=10

------------------

0=0

Answer: Infinitely many solutions.

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7x-2y=9

7x-2y=13

--------------

-1(7x-2y)=-1(9)

7x-2y=13

---------------------

-7x+2y=-9

7x-2y=13

-------------

0=4

Answer: NO Solution.

-------------------------------------

2x-y=-11

-2x+y=11

-----------------

0=0

Answer: Infinitely many solutions.

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3x+6y=1

x+y=0

x=0-y=-y

3(-y)+6y=1

-3y+6y=1

3y=1

y=1/3

x=-y=-1/3

Answer: x=-1/3, y=1/3. (-1/3, 1/3).