Simultaneous Equations

Quick Links:
1) Introduction
2) Solving by Elimination
3) Using Geogebra
4) Solving using a calculator
5) Homework & survey
6) Resources 

Let's get warmed up!
Warm up your brain by reviewing your ability to solve equations (and improve your basketball skills :) with the this game.

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What are "Simultaneous Equations"?

The word "Simultaneous" means at the same time, so simultaneous equations mean that we are solving equations with two (or more) unknowns (e.g. values of x and y) in one problem.

Example 1.   Solve simultaneously for x and y:

x + y	=	10
x − y	=	2

This means that we must find values of x and y that will solve both equations.  We must find two numbers whose sum is 10 and whose difference is 2.

The two numbers, obviously, are 6 and 4:

6 + 4	=	10
6 − 4	=	2

so the values:  x = 4 & y = 2 can be used to solve both equations at the same time (simultaneously)

Want to know how simultaneous equations relate to real life? Read on :) 

Life + Love = Happy

Life - Love = Sad

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