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Solving Linear Simultaneous Equations

Solving Linear Simultaneous Equations. Slideshow 13, Mathematics Mr Richard Sasaki, Room 307. Objectives. Look at multiplying both sides of an equation by a number Review the process of solving simultaneous equations Solve simultaneous equations for unknowns with different coefficients.

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Solving Linear Simultaneous Equations

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  1. Solving Linear Simultaneous Equations Slideshow 13, Mathematics Mr Richard Sasaki, Room 307

  2. Objectives Look at multiplying both sides of an equation by a number Review the process of solving simultaneous equations Solve simultaneous equations for unknowns with different coefficients

  3. Multiplication Worksheet Try the short multiplication worksheet and fill in the gaps, should take just a few minutes!

  4. 5 Answers 3 9 11 2 8 11 4 -4 3 -2

  5. Solving Simultaneous Equations ① ② We can solve simultaneous equations by adding or subtracting when a term and coefficient is the same in both equations. ①－② ①

  6. Solving Simultaneous Equations But how do we solve simultaneous equations when there is no term and coefficient in common? As in the multiplication worksheet, we can multiply both sides of an equation by a number. We can make it so the same term shares the same coefficient.

  7. Solving Simultaneous Equations Solve the simultaneous equations below. What should we do first? The easiest way to make a pair of coefficients the same is to make ② contain . So we will multiply ② by . Example ① So let’s subtract ① from ②×2. ② ②×2 ②×2 ① Let’s substitute into②. ② So and .

  8. Solving Simultaneous Equations Solve the simultaneous equations below. ① Example ② Let’s multiply ① by 3 and ② by 2. Then we will have in both equations. ① x 3 ② x 2 ①x 3 - ② x 2 So and . Try the worksheets! ①

  9. Answers

  10. Answers Chicken eggs: 20g Duck eggs: 35g There are 15 two yen coins and 25 five yen coins

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