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How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation. So from 5x+y=14, we can minus 5x from both sides to get: y=14-5x ...
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Answered by Imogen B. • Maths tutor
9854 Views

How would you solve a quadratic equation by factorising?

Solve the equation : x 2 - 8x + 15 The first step is to factorise the quadratic equation. 1. You must find two numbers which will add to give -8 and multiply to give 15. The numbers that would do this are -5...
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Answered by Angelin G. • Maths tutor
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Find the exact gradient of the curve y=ln(1-cos2x) at the point with x-coordinate π/6

This is a past paper question for an A level OCR MEI paper for Maths.We need to find the gradient of the curve so we know right away that we need to use differentiation.The equation y = ln(1-cos2x) is diffic...
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Answered by Catherine H. • Maths tutor
14599 Views

How can I derive an equation to find the sum of an arithmetic sequence?

This isn't a requirement of many courses but understanding and proving mathematics has order is what makes mathematics unique and enjoyable to many. Imagine the sum of a sequence with n terms, denoted S n , ...
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Answered by Rhys H. • Maths tutor
4981 Views

If (2/3)^n=〖(3/2)〗^2 what is the value of n

Reciprocal is when you interchange the numerator (the number on top in a fraction) with the denominator (the number at the bottom in a fraction). The numerator, is now the denominator and the denominator is ...
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Answered by Gift W. • Maths tutor
15908 Views