Which of these statements is correct?
The system of linear equations 6 x minus 5 y = 8 and 12 x minus 10 y = 16 has no solution.
The system of linear equations 7 x + 2 y = 6 and 14 x + 4 y = 16 has an infinite number of solutions.
The system of linear equations 8 x minus 3 y = 10 and 16 x minus 6 y = 22 has no solution.
The system of linear equations 9 x + 6 y = 14 and 18 x + 12 y = 26 has an infinite number of solutions.

The answer to your question is the third choice.

Step-by-step explanation:

a)          6x - 5y = 8

           12x - 10y = 16

We observe that these lines are the same so they have infinite solutions.

b)

            7x + 2y = 6

           14x + 4y = 16

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

c)

             8x - 3y = 10

            16x - 6y = 22

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

d)

            9x + 6y = 14

           18x + 12y = 26

These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.

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