## 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] 17 x

+

-4 y

=

-11

[2] 9 x

+

-11 y

=

10

==> x

=

161

-151

, y

=

269

-151

Ex. 1:

[1] 8 x

+

12 y

=

-9

[2] 1 x

+

6 y

=

-16

==> x

=

23

6

, y

=

-119

36

Ex. 2:

[1] 19 x

+

3 y

=

-2

[2] 18 x

+

-5 y

=

-8

==> x

=

34

-149

, y

=

-116

-149

Ex. 3:

[1] 7 x

+

5 y

=

-10

[2] 11 x

+

13 y

=

-12

==> x

=

-35

18

, y

=

13

18

Ex. 4:

[1] 5 x

+

2 y

=

-3

[2] 4 x

+

-7 y

=

-9

==> x

=

39

-43

, y

=

-33

-43

Ex. 5:

[1] 15 x

+

1 y

=

17

[2] 5 x

+

4 y

=

-6

==> x

=

74

55

, y

=

-35

11

Ex. 6:

[1] 5 x

+

-11 y

=

-11

[2] 8 x

+

1 y

=

-13

==> x

=

-154

93

, y

=

23

93

Ex. 7:

[1] 3 x

+

-1 y

=

-4

[2] 6 x

+

7 y

=

9

==> x

=

-19

27

, y

=

17

9

Ex. 8:

[1] 15 x

+

3 y

=

-16

[2] 18 x

+

14 y

=

-7

==> x

=

-203

156

, y

=

61

52

Ex. 9:

[1] 13 x

+

8 y

=

6

[2] 19 x

+

-17 y

=

-3

==> x

=

-78

-373

, y

=

-153

-373