O LevelFurther MathsCambridge (CIE)Additional MathsExam QuestionsAlgebra & FunctionsSimultaneous Equations

Simultaneous Equations (Cambridge (CIE) O Level Additional Maths): Exam Questions

Exam code: 4037

36 mins7 questions
Medium
Hard
Very Hard
1
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3 marks

The line y space equals space 5 x plus 6 meets the curve x y space equals space 8 at the points A and B.

Find the coordinates of A and of B.

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2
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5 marks

Find the coordinates of the points of intersection of the curves x squared space equals space 5 y minus 1 and y space equals space x squared space minus 2 x plus 1.

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1a
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4 marks

Solve the simultaneous equations

10 to the power of x plus 2 y end exponent space equals space 5,

10 to the power of 3 x plus 4 y end exponent space equals space 50 ,

giving x and y in exact simplified form.

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1b
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3 marks

Solve 2 x to the power of 2 over 3 end exponent minus x to the power of 1 third end exponent minus 10 equals 0.

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2
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5 marks

Find the coordinates of the points of intersection of the curve x squared plus x y equals 9 and the line y equals 2 over 3 x minus 2.

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1
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6 marks

Solve the simultaneous equations.

log subscript 3 open parentheses x plus y close parentheses equals 2

2 log subscript 3 open parentheses x plus 1 close parentheses equals log subscript 3 open parentheses y plus 2 close parentheses

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2
Sme Calculator
5 marks

Solve the simultaneous equations.

x squared plus 3 x y equals 4

2 x plus 5 y equals 4

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3
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5 marks

Solve the following simultaneous equations.

3 to the power of x cross times 9 to the power of y minus 1 end exponent equals 243

8 cross times 2 to the power of y minus 1 half end exponent equals fraction numerator 2 to the power of 2 x plus 1 end exponent over denominator 4 square root of 2 end fraction

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