Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y = 38. C. 4 x + 7 y = 17. 8 x minus 14 y = 36. D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34

Step-by-step explanation:

A. 2 x + 8 y = 15. 4 x + 16 y = 30.

Multiply the first equation by 2

4x+16y = 30 This is identical to the second equation so there are infinite solutions

B. 2 x - y = 18. 4 x + 2 y = 38.

Multiply the first equation by 2

4x - 2y = 36. Add to the second equation 8x = 74 so there is one solution

C. 4 x + 7 y = 17. 8 x minus 14 y = 36.

Multiply the first equation by 2

8x + 14y = 34 Add this to the second equation 16x = 70 There is one solution

D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.

Multiply the first equation by 2

8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34

0 = 2

This is never true so there is no solution