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