Slideshow 13, Mathematics Mr Richard Sasaki, Room 307.

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Presentation transcript:

Slideshow 13, Mathematics Mr Richard Sasaki, Room 307

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

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

We can solve simultaneous equations by adding or subtracting when a term and coefficient is the same in both equations. ① ② ①－②①－② ①

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.

Example Solve the simultaneous equations below. ① ② ②×2 So let’s subtract ① from ②×2. ① ②×2 ②

Example Solve the simultaneous equations below. ① ② ① x 3 ② x 2 ① x 3 - ② x 2 ① Try the worksheets!

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