Question

solve the following system of linear equations by addition. indicate whether the given system of linear equations is consistent, inconsistent, or dependent. if the system is consistent, find the solution.
{-6x + 6y = -30
-2x + 2y = -6
answer 5 points
selecting an option will enable input for any required text boxes. if the selected option does not have any associated text boxes, then no further input is required.
consistent ( )
inconsistent
dependent

Explanation:

Step1: Simplify the second - equation

Divide the equation \(-6x + 6y=-30\) by \(3\). We get \(-2x + 2y=-10\).

Step2: Compare with the first equation

The first equation is \(-2x + 2y=-6\). Since \(-10
eq - 6\), the two equations represent parallel lines.

Answer:

Inconsistent