Simultaneous Equations (AQA GCSE Further Maths)

Solve the simultaneous equations

         ................, ................, ................  

Solve the simultaneous equations.

Do not use trial and improvement.

You must show your working.

Solve the simultaneous equations

and 

Do not use trial and improvement.

You must show your working.

Solve the simultaneous equations

Do not use trial and improvement.

You must show your working.

Find, to 2 decimal places, the coordinates of the two points of intersection between the line and the curve .

Do not use trial and improvement.

You must show your working.

Two bags of apples plus one bag of carrots cost £9 more than two bags of bananas.

One bag of apples plus two bags of bananas plus two bags of carrots cost £12.

Two bags of apples plus one bag of bananas cost £3 more than two bags of carrots.

By forming and solving simultaneous equations, work out the individual costs of a bag of apples, a bag of bananas and a bag of carrots.

Do not use trial and improvement.

You must show your working.

Solve the simultaneous equations

giving your answers in an exact form.

Do not use trial and improvement.

You must show your working.

is the equation of a circle.

is the equation of a straight line.

Use algebra to show that the straight line is a tangent to the circle at a point, , whose coordinates you should find.