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How do you solve simultaneous questions?

When an equation has two or more variables, for example and x and y, more than one equation is need to solve it.  The number of equations needs is equal to the number of variables you have.  For example, ...

Answered by Elise S. Maths tutor
3243 Views

How do I calculate where a function is increasing/decreasing?

This depends entirely on the gradient of the function, which is calculated as (dy/dx).

At (dy/dx)= 0, the function is neither increasing nor decreasing, since the gradient is zero. The max number o...

Answered by Steve H. Maths tutor
6955 Views

y=mx+c. If m=5, x= -3 and c=1, find y

First off multiply m and x together. This is -3*5 = -15. Next, add c to the previous result, so -15+1=-14. This gives y=-14

Answered by Kamaal K. Maths tutor
2965 Views

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statem...

Answered by Thomas D. Maths tutor
6046 Views

Solve the simultaneous equations: (1) y – 2x – 4 = 0 , (2) 4x^2 + y^2 + 20x = 0

Rearrange (1): y=2x+4

Subsitute this into (2): 4x2+(2x+4)2+20x=0

Simplify and collect like terms: 8x2+36x+16=0

Factorise: (2x+1)(x+4)=0

Therefo...

Answered by Anastasia T. Maths tutor
3651 Views

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