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Maths
A Level

Solve the simultaneous equations y = x + 3, y^2 - x^2 + 3 = -6x

Here, we have two equations involving two variables, x and y. 


The question asks us to 'solve' the set of simultaneous equations.

Equivalently, it is asking us to

Answered by Anthony H. Maths tutor
8608 Views

Given that 5cos^2(x) - cos(x) = sin^2(x), find the possible values of cos(x) using a suitable quadratic equation.

First, need to get all the terms in the equation to be the same. Using the following identity, it is possible to achieve this:

sin2(x) + cos2(x) = 1

1 ...

Answered by Andrew B. Maths tutor
7542 Views

Line AB has the equation 3x + 5y = 7. Find the gradient of Line AB.

Rearrange equation into the form: y = mx + c

m = gradient

3x + 5y = 7

5y = -3x + 7

y = (-3/5)x + (7/5)

gradient = (-3/5)

Answered by Aaquib N. Maths tutor
12184 Views

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