Question

Is the system consistent or inconsistent? y = -1/2x - 1 and y = 3x + 3
Consistent
Inconsistent
Cannot be determined
I think it is inconsistent but im not to sure will someone help?

Answer 1

Substitute the first y = ... in 2 nd equation.
Then you get a quadratic in x.
If it has real roots, then the system is consistent. Otherwise not.

Answer 2

I agree with your answer, it is inconsistent because if, for instance, you solve for x you get x=8/7 and then the y value for the first equation is different to that of the second. Hence it is inconsistent

Answer 3

thank you I always make simple mistakes I just wanted to be sure

Answer 4

The system, 6x - 4y = 5 and 9x - 6y = 5, is consistent.
ture/false

Answer 5

I think it is true

Answer 6

I think the first system is consistent, since they have a real solution.

Answer 7

@amistre64

Answer 8

yes

Answer 9

@jode0001 it is consistent?

Answer 10

if it has a solution, yes

Answer 11

okay explain please

Answer 12

as koushik_ksv pointed out, is inconsistent when it has no solutions, or "dependent" when it has infiniite solutions

Answer 13

o okay, I see