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

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

Infinitely many solutions.

7x-2y=9

7x-2y=13

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

7x-2y=13

-7x+2y=-9

7x-2y=13

0=4

NO Solution.

2x-y=-11

-2x+y=11

0=0

Infinitely many solutions.

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

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

0/5 is 0, 2/0 is undefined, and 0/0 is indeterminate.

step-by-step explanation:

hope my answer has you!

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!