Elimination is for when you want to clear the clutter. You line up both equations—x over x, y over y—then add or subtract them to cancel out one variable. Think of it as a mathematical spark joy moment: you’re removing what you don’t need to see what really matters.
For example: if you have x + y = 10 and x – y = 2, adding them gives you 2x = 12, so x = 6. Boom. The y just vanished like yesterday’s Instagram story.
Fun fact: elimination is the same logic your brain uses when you tune out background noise in a café to hear your friend’s story. You “cancel” the noise, and the signal becomes clear.
4 Ways to Solve Systems of Algebraic Equations Containing Two Variables
