Question

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.

Answer 1

C

Explanation:

Answer 2

The answer to your question is the third choice.

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.