# Welcome to Physics and Maths.co.uk

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## Physics and Maths Tuition and coaching for all - from GCSE through A-Level to Degree

## Now also coaching in GCSE/A-level Computer Science

### Proper, Improper and Mixed Fractions

### Fractional Arithmetic

### Changing the Subject of an Expression

### Multiplying Expressions

### Factorising Quadratic Expressions

### Solving Linear Equations

### Rationalising the Denominator

### Solving Simultaneous (Linear) Equations

Ex. 0:

[1] 6 x

+

-10 y

=

-13

[2] 1 x

+

-18 y

=

16

==> x

=

197

-49

, y

=

109

-98

Ex. 1:

[1] 3 x

+

6 y

=

-18

[2] 16 x

+

17 y

=

15

==> x

=

-44

-5

, y

=

37

-5

Ex. 2:

[1] 8 x

+

15 y

=

9

[2] 19 x

+

-2 y

=

-3

==> x

=

27

-301

, y

=

-195

-301

Ex. 3:

[1] 1 x

+

5 y

=

-14

[2] 19 x

+

16 y

=

-13

==> x

=

-159

-79

, y

=

253

-79

Ex. 4:

[1] 10 x

+

-13 y

=

-14

[2] 14 x

+

-16 y

=

-2

==> x

=

9

1

, y

=

8

1

Ex. 5:

[1] 17 x

+

0 y

=

14

[2] 12 x

+

-4 y

=

-19

==> x

=

-14

-17

, y

=

-491

-68

Ex. 6:

[1] 7 x

+

4 y

=

1

[2] 15 x

+

-18 y

=

17

==> x

=

-43

-93

, y

=

52

-93

Ex. 7:

[1] 10 x

+

-2 y

=

3

[2] 1 x

+

5 y

=

3

==> x

=

21

52

, y

=

27

52

Ex. 8:

[1] 11 x

+

5 y

=

-1

[2] 4 x

+

-17 y

=

17

==> x

=

-68

-207

, y

=

191

-207

Ex. 9:

[1] 9 x

+

-4 y

=

-12

[2] 7 x

+

-3 y

=

-17

==> x

=

-32

1

, y

=

-69

1

### Solving Simultaneous Quadratic Equations

### 2 and 3 Part Ratios

### Completing the Square

### Sequences and Series

### Polynomial Long Division

### Factor and Remainder Theorem

### Roots of a cubic

### Differentials

### Finding Turning Points

### Pythagorus

### Sine and Cosine Rules

### Vectors

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