Question

A system of two linear equations in which the lines are parallel is classified as __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.

Answer 1

Option A

A system of two linear equations in which the lines are parallel is classified as inconsistent

Solution:

Given that,

A system of two linear equations in which the lines are parallel is classified as __________.  

Now, we know that, two parallel lines means that two lines that never meets, in turn it means that they will not a common solution.

So, they are inconsistent.

And we know that, coefficients of variables in parallel line equations are equal but the constant term differs. Then, we cannot represent one in equation in other equation. So they are independent lines.

Hence, the parallel lines are inconsistent, and correct available option is option A.

Answer 2

Answer:Option A

Step-by-step explanation:A system of two linear equations in which the lines are parallel is classified as inconsistent Now, we know that, two parallel lines means that two lines that never meets, in turn it means that they will not a common solution.