# Solving Linear Simultaneous Equations - PowerPoint PPT Presentation

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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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## 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

### Multiplication Worksheet

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

5

3

9

11

2

8

11

4

-4

3

-2

### Solving Simultaneous Equations

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

①－②

### 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.

### 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

So let’s subtract ① from ②×2.

②×2

②×2

Let’s substitute into②.

So and .

### Solving Simultaneous Equations

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!