Exploring Linear Relationships with Systems of Equations

1. What Are Relationships?:

   • Systems of equations let us look at different linear relationships at the same time.
   • For example, we can solve these two equations:
     • $y = 2x + 3$
     • $y = -x + 1$
   • When we find the point where these two lines cross, it shows us where the two relationships connect.

2. Using It in Real Life:

   • Around 70% of problems we face in real life can be tackled using systems of equations.
   • Businesses often use this method to help them make more money or spend less.

3. Seeing It on a Graph:

   • Looking at a graph helps us understand these relationships visually.
   • The points where the lines intersect tell us important solutions.
   • These solutions are key to making smart decisions.