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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 - Triple it. so..6y = 12x + 36 we name this equ...
IP
Answered by Imogen P. • Maths tutor
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A line has equation y = 2x + c and a curve has equation y = 8 − 2x − x^2, if c=11 find area between the curves

Extracted from Cambridge International Examinations / MATHEMATICS 9709/11 Paper 1 Pure Mathematics 1 (7 points out of 10 for this question) A line has equation y = 2x + c and a curve has equation y = 8 − 2x ...
LA
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How can I differentiate x^2+2y=y^2+4 with respect to x?

To differentiate this kind of expression you would need to use implicit differentiation. Although it may sound new, you already have all the skills you need to be able to do it. We will differentiate both si...
MS
Answered by Margarita S. • Maths tutor
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Write down the value of (125)^2/3

When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs becua...
AJ
Answered by Alice J. • Maths tutor
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Find the integral of (3x^2+4x^5-7)dx

First of all note the dx means that we are integrating with respect to x. So lets integrate each term seperately.. 3x^2 ---> (raise the power by one then divide by the new power, so 3) ---> x^3 4x^5 --...
AJ
Answered by Alice J. • Maths tutor
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