Simultaneous Equations

• Basic method from JC

  1. Label both equations
  2. Multiply one or both equations so that the x's or y's are equal and opposite and then cancel
  3. Don't forget to sub your answer for x or y back in to get the other one
• 2 types of simultaneous equations

  1. Linear
  2. Non-linear
• How to solve basic linear equations

  1. Label equations
  2. Multiply 1 or 2 equations to make numbers in front of x, y or z equal and opposite
  3. Do this again so you have 2 new equations with just 2 unknowns in each
  4. Solve like in Jc
  5. Sub answers back in to get unknowns
• How to solve basic non-linear equations

  (One equation has a x2 and the other one just has x)

  1. Change x equation into x=... or y=...
  2. Sub this into x2 equation
  3. Solve quadratic
  4. Sub values back into x equation to get other unknown