To solve this system of equations, you can use either the substitution or elimination method. Let’s use the elimination method for simplicity! Start by rewriting the equations for clarity:

Now, add the two equations together to eliminate :

This simplifies to , which indicates that the equations are inconsistent and have no solution. In graphical terms, this means the lines represented by these equations are parallel and will never meet.

But wait! It’s not all doom and gloom! In such cases, exploring the coefficients and constants can provide insight into the relationships. It’s important to realize that the slopes of the lines (determined by the coefficients of and ) are equal, indicating parallelism! So, while there’s no solution here, you’ve stumbled upon an important concept in linear algebra!

Now, for a fun challenge, try graphing these equations! You’ll see just how these two lines never cross, providing a visual representation of that inconsistency. Plus, it’s a great way to practice plotting linear equations!