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Maths
GCSE

If 5x + 3y = 27 and 6x - 2y = 10, find x and y

5x + 3y = 27 (1)6x - 2y = 10 (2)Rearrange (1) to make x the subject.Subtracting - 3y from both sides gives5x = 27 - 3yDivide both sides by 5 givesx = (27 - 3y)/5Substitute (1) into (2) gives6(27 - 3y)/5 -...

TA
Answered by Thomas A. Maths tutor
3504 Views

expand (2x+4)(x+2)

For this question you can use a method called the foil method. The F stands for first therefore you times the 2 variables that are first in each bracket. 2x times x which gives you 2x^2. The O stands for ...

AF
Answered by Aiyshah F. Maths tutor
5331 Views

A ladder of length 3.5m rests against a vertical wall and makes an angle of 40* with the floor. How far up the wall does top of the ladder reach?

We can use trigonometry to answer this question using the following steps: Sketch the question out Label the right angled triangle correctly (using information in the question)Identify the correct equatio...

HW
Answered by Helena W. Maths tutor
4437 Views

Solve 4(3x + 2) = 12 - 5x

Step 1: Times out the brackets 12x + 8 = 12 -5x
Step 2: Gather all 'x' values on one side and all non-'x' values on the other (12x + 5x = 12 - 8) -> 17x = 4
Step 3: Divide by the number next ...

CL
Answered by Caitlin L. Maths tutor
4173 Views

How can you differentiate when to use SohCahToa and when to use the sine/cosine rules?

SohCahToa
 We use SohCahToa to figure out an unknown angle or side in a right angled triangle. In questions, you will see a right angled triangle and have either two sides given (so ...

MC
Answered by Mansi C. Maths tutor
17993 Views

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