1 / 10

# Solving Linear Simultaneous Equations - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Solving Linear Simultaneous Equations' - hide

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Solving Linear Simultaneous Equations

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!

3

9

11

2

8

11

4

-4

3

-2

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

①－②

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.

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

So let’s subtract ① from ②×2.

②×2

②×2

Let’s substitute into②.

So and .

Solve the simultaneous equations below.

Example

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!

Chicken eggs: 20g

Duck eggs: 35g

There are 15 two yen coins and 25 five yen coins