Question

Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

10x + 2y = 14

-15x - 3y = -6

5x + y = -7

6x + 2y = 7

Answer 1

help! please!

Answer 2

5x + y = 7 and 5x + y = -7 will produce an inconsistent system

this is because you'll have 2 parallel lines when you graph them leading to no intersections (no intersections ---> no solutions)

Answer 3

so choice C is out

Answer 4

ok

Answer 5

10x + 2y = 14

2(5x + y) = 14

5x + y = 14/2

5x+y = 7

So choice A is equivalent to the given equation. Therefore, we'll get a consistent dependent system. Choice A is out.

Answer 6

I'll let you do check the others

Answer 7

ok

Answer 8

give me a sec

Answer 9

is it choice D?

Answer 10

so you eliminated choice B? what did you get for B?

Answer 11

for choice B was parallel to 5x + y = 7

Answer 12

correct, so B is out

D is the only thing left and it is indeed the answer

Answer 13

ok thank you very much :D

Answer 14

you're welcome