Question

-4x - 6y = 6
4x + 6y = -4
options: (-4,0), (2,0), (0,0), no solution

Explanation:

Step1: Add the two equations

We have the system of equations:
$$-4x - 6y = 6$$
$$4x + 6y = -4$$
Adding these two equations together: \((-4x - 6y)+(4x + 6y)=6+(-4)\)
Simplifying the left - hand side: \(-4x - 6y+4x + 6y = 0\)
Simplifying the right - hand side: \(6-4 = 2\)
We get \(0 = 2\), which is a false statement.

Answer:

no solution