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Solve the simultaneous equations '2X+Y=7' and '3X-Y=8'

In order to solve this question we need to remove one variable, either X or Y. Let us remove X in this case. The coefficents of X are 2 and 3. Their lowest common multiplte is 6. We can therefore get b...

AP
Answered by Arjan P. Maths tutor
10475 Views

The variable x=t^2 and the variable y=2t. What is dy/dx in terms of t?

This question may seem difficult but we just have to remember the rules of parametric differentiation and the chain rule.
The chain rules states that dy/dx=dy/dz*dz/dx where z is a third variable. Pa...

SK
Answered by Samradnyee K. Maths tutor
16157 Views

What is the simplest form of the fraction (8a^2+10ab)/(12a+15b)?

These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cance...

SK
Answered by Samradnyee K. Maths tutor
8030 Views

What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation. 
First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/...

SK
Answered by Samradnyee K. Maths tutor
59704 Views

Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12

Equation one: 3y - 7x = 15

- Double it and re arrange   3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3

Equation two: 2y = 4x +12

...

IP
Answered by Imogen P. Maths tutor
4274 Views

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