Question

Which statement describes the graph and system of equations?

6x+4y=2
3x+2y=1

A) Consistent and independent
B) Inconsistent
C) Coincident
D) Not enough information

Answer 1

C. Consistent

Explanation:

We have the system of equations given by,

6x + 4y = 2

3x + 2y = 1.

Dividing the first equation by 2, we get the system as,

3x + 2y = 1

3x + 2y = 1

As, we see that the system of equations has only one equation 3x + 2y = 1.

And, this equation will have infinitely many solutions.

Hence, the given system is 'Consistent and Dependent'.

Thus, option C is correct.