Question

Classify the system of equations.

2x + 5y = 6 4x + 10y = 12
a. Consistent and Independent
b. Consistent and Dependent
c. Consistent Inconsistent and Independent
d. Inconsistent and Dependent Inconsistent​

Answer 1

The system of equations 2x + 5y = 6 and 4x + 10y = 12 is consistent and dependent.

Step-by-step explanation:

The given system of equations is:

2x + 5y = 6

4x + 10y = 12

These two equations represent the same line. When we multiply the first equation by 2, we get the second equation. This means the two lines are identical and will intersect at infinitely many points. Therefore, the system of equations is consistent and dependent, which is option b.