← Return to Adventure Map

Systems of Equations

The Hook

Where two lines cross.

What is it?

Finding the single point (x, y) that works for two different equations.

Time Travel (History)

Used in economics to find where Supply meets Demand.

Cheat Code

Substitution or Elimination: pick your weapon.

Practice This Now!

The Field Guide

In Plain English: A system asks: 'When will these two things be equal?' It's solving two puzzles at once to find the one answer that fits both.

In The Real World: Comparing two cell phone plans to see which is cheaper for your usage.

Booby Trap!

Finding X but forgetting to plug it back in to find Y.

Real World Challenge
"Plan A: $10/mo. Plan B: $5/mo + $20 setup. When do they cost the same?"
The Logic: 10x = 5x + 20. 5x = 20. x = 4 months.

Training Drills

Intersection
y = x y = 2 - x Point: (1, 1)
Where lines cross.