6x + 4y = 2
3x + 2y = 1
A.
not enough information
B.
coincident
C.
consistent and independent
D.
inconsistent
Answer:
Step-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.
The answer is choice B). Coincident.
I hope it helps, Regards.
(B) x - 2y = -4
(C) y = (½)x - 2
(D) 2y = x + 4