## Physics and Maths (STEM) Tutor - coaching for all - from GCSE through A-Level to Degree

## Other tutor / coaching services: 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] 8 x

+

2 y

=

9

[2] 11 x

+

1 y

=

1

==> x

=

1

-2

, y

=

-13

-2

Ex. 1:

[1] 13 x

+

-12 y

=

4

[2] 15 x

+

-18 y

=

9

==> x

=

2

-3

, y

=

19

-18

Ex. 2:

[1] 10 x

+

11 y

=

-3

[2] 16 x

+

15 y

=

6

==> x

=

-111

-26

, y

=

54

-13

Ex. 3:

[1] 5 x

+

-8 y

=

-14

[2] 10 x

+

-19 y

=

-15

==> x

=

146

-15

, y

=

13

-3

Ex. 4:

[1] 15 x

+

19 y

=

12

[2] 16 x

+

1 y

=

-11

==> x

=

13

-17

, y

=

-21

-17

Ex. 5:

[1] 5 x

+

-6 y

=

-4

[2] 19 x

+

-17 y

=

-17

==> x

=

-34

29

, y

=

-9

29

Ex. 6:

[1] 11 x

+

6 y

=

-19

[2] 9 x

+

-8 y

=

0

==> x

=

76

-71

, y

=

171

-142

Ex. 7:

[1] 7 x

+

8 y

=

-15

[2] 10 x

+

13 y

=

-5

==> x

=

-155

11

, y

=

115

11

Ex. 8:

[1] 14 x

+

-14 y

=

7

[2] 15 x

+

-6 y

=

-3

==> x

=

-2

3

, y

=

-7

6

Ex. 9:

[1] 16 x

+

-15 y

=

-10

[2] 1 x

+

-13 y

=

0

==> x

=

130

-193

, y

=

10

-193