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Solving Non-linear Simultaneous Equations

Solving Non-linear Simultaneous Equations. Slideshow 14, Mathematics Mr Richard Sasaki, Room 307. Objectives. Review solving linear simultaneous equations Understand the difference between a linear and a non-linear pair of simultaneous equations

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Solving Non-linear Simultaneous Equations

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  1. Solving Non-linear Simultaneous Equations Slideshow 14, Mathematics Mr Richard Sasaki, Room 307

  2. Objectives Review solving linear simultaneous equations Understand the difference between a linear and a non-linear pair of simultaneous equations Learn how to solve non-linear equations where two terms are similar

  3. Solving in the linear case Example Solve the simultaneous equations below. ① ① ② ① 2 ② -3 ① 2 - ② -3 So and . When solving linear simultaneous equations, we can add or subtract to remove an unknown and solve.

  4. Linear or not linear? Try solving some regular non-linear equations with one unknown. Yes Yes No – It is multiplied by itself. No – is multiplied by . Yes The example shown a moment ago was for a pair of linear equations. Linear means that no unknowns multiply each other or themselves. Check whether the equations below are linear.

  5. Answers -4 positive -4 4 5 -5 9 -9 -11 11 -4 4 7 -7 6 -6 -5 5 1

  6. Solving in the non-linear case Example Solve the simultaneous equations below. ① ② ② ② x 2 ① - ② x 2 So and or . If we have a non-linear case where two terms are the similar (the coefficient doesn’t need to be the same), we can still solve through addition or subtraction.

  7. Solving in the non-linear case Example Solve the simultaneous equations below. ① ② ② ② x 2 ② x 2 - ① So and . Try the worksheets!

  8. Answers or

  9. Answers , and and or and , and or and

  10. Answers , and and or and and , and

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