Simultaneous Ans

8/12/2019 Simultaneous Ans

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Surname Initial(s)

Signature

Centre No.

Turn over

Candidate No.

Paper Reference(s)

1380/3HEdexcel GCSEMathematics (Linear) – 1380Paper 3 (Non-Calculator)

Simultaneous EquationsPast Paper QuestionsArranged by Topic

Materials required for examination Items included with question papersRuler graduated in centimetres and Nilmillimetres, protractor, compasses,

pen, HB pencil, eraser.Tracing paper may be used.

Instructions to CandidatesIn the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper.Answer ALL the questions. Write your answers in the spaces provided in this question paper.You must NOT write on the formulae page.Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets.

Information for CandidatesThe marks for individual questions and the parts of questions are shown in round brackets: e.g. (2) .

There are 26 questions in this question paper. The total mark for this paper is 100.There are 24 pages in this question paper. Any blank pages are indicated.Calculators must not be used.

Advice to CandidatesShow all stages in any calculations.Work steadily through the paper. Do not spend too long on one question.If you cannot answer a question, leave it and attempt the next one.Return at the end to those you have left out.

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http://bland.inCompiled by Peter Bland *N34730A0124*

Paper Reference

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Model Answers

Model answers copyright 2012 Peter Bland

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4

-2

….......(1)….......(2)

( )( )

( )( )

( ) ( )

( )

×

+ = −

×

+ = −

−

= −

= −

= −

− =

=

=

1 2

6 4 16 .......... 3

2 3

6 15 6 .......... 4

4 3

11 222

subs 2 in 1

3 4 83 12

4

x y

x y

y

y

y

x

x

x



Leave blank

2. Solve the simultaneous equations

6 x + 2 y = − 3 4 x − 3 y = 11

x = ..........................., y = .......................... Q 2

(Total 4 marks)

6x + 2y = -3 .................(1)4x - 3y = 11 ................(2)(1) x 318x + 6y = -9 ..............(3)(2) x 28x - 6y = 22(3) + (4)

26x = 13x = 1/2

Subs x = 1/2 in (1)3 + 2y = -32y = -6

1/2 -3



2 2

2

2 2

2

(3 1) 5

(3 1)(3 1) 5

9 3 3 1 5

10 6 4 0(2 2)(5 2) 0

x x

x x x

x x x x

x x

x x

+ + =

+ = + =

+ + + + =

+ − =

+ − =

Subs y = 3x + 1 in (1 )

x = -1 or

Subs x = -1 in (2)y = -3 + 1y = -2

Subs x = in (2)

61

51

25

y

y

= +

=

2

5

2

5

2

5

12

5

-1 -2



Leave blank

4 . Solve the simultaneous equations

4 x + y = −1

4 x – 3 y = 7

x = ............................ y = ............................ Q 4

(Total 3 marks)

4x + y = -14x - 3y = 7

.....................(1).....................(2)

(1) - (2)4y = -8y = -2Subs y = -2 in (1)

4x - 2 = -14x = -1 + 24x = 1x = 1/4

1/4 -2



Leave blank

5 .

7

6

5

4

3

2

1

1 2 3 4 5 6 7O x

y

The diagram shows graphs of y x =12

+ 2

and 2 y + 3 x = 12

(a) Use the diagram to solve the simultaneous equations

y x =1

2

+ 2

2 y + 3 x = 12

x = .................... y = ....................

(1)

(b) Find an equation of the straight line which is parallel to the line y x =12

+ 2 and passes through the point (0, 4).

.....................................(2) Q 5

(Total 3 marks)

The graphs intersect at 2, 3.

2 3

The y intersect changes from 2 to 4. The new equation parallel to the old one is y = 1/2 x + 4

y = 1/2 x + 4



Leave blank

1

. Solve the simultaneous equations 4 x + y = 10 2 x – 3 y = 19

x = ...............................

y = ............................... Q

(Total 3 marks)

4x + y = 10 .................(1)

2x - 3y = 19 ................(2)(1) x 312x + 3y = 30 ..............(3)(2) + (3)

14x = 49x = 3.5

Subs x = 3.5 in (1)14 + y = 10

y = 10 - 14y = -4

Simultaneous Ans

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