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Maths
GCSE

Solve the following simultaneous equations, 1) 3x + 3y = 9 and 2) 4x + 2y = 13.

Solving the above question means to find a value of x and y that satisfies both equations. To solve this we first have to look at the x terms and y terms and decide which terms are the easiest to cancel o...

EB
Answered by Ellen B. Maths tutor
6184 Views

How do you turn 0.11111... (recurring) into a fraction

Let's look at what makes this question more difficult than, say, 0.5 or 0.01: as the decimal is recurring, you can't just multiply and divide by a big number to get a fraction. Example: multiply 0.01 time...

AP
Answered by Alvaro P. Maths tutor
49987 Views

Solve 3x – 5 < 16

Key points: Approach in exactly the same way as if there was an = instead of an <.When trying to solve the inequality, remember that whatever you do to one side of the inequality you must also do to th...

JM
Answered by John M. Maths tutor
3375 Views

Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.

You can solve this equation using the quadratic formula: x = -b +/- root(b2- 4ac) 2aSo, a=2, b=7, c=-8:x = -7 +/- root(72- 4 x 2 x -8) 2 x 2...

MK
Answered by Michelle K. Maths tutor
7644 Views

Prove algebraically that 
(2n + 1)^2 – (2n + 1) is an even number for all positive integer values of n. (3 marks)

We can show something is even if it is a multiple of two, as every multiple of two is even. It is useful to see certain tricks, and I will aim to teach you these in my tutorials, these tricks make problem...

BH
Answered by Ben H. Maths tutor
5731 Views

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