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To work out simultaneous equations, the aim is to remove one letter from the equations, i.e. Remove the y's so you have only x's and numbers (or vice versa).

One way to do ...

We need to have either the same number of x's or the same number of y's in each equation so that we can add or subtract them to be left with just x or just y. We can do this by multiplying the second e...

First let y=ln(x).

Recall that the exponential function, e^x, is defined as the inverse of the logarithmic function, ln(x).

To make x the subject of the formula, u...

Let's start with the definition of sin(x) and cos(x). We're going to use t rather than x here to avoid confusion, but the idea is exactly the same.

Tak...

1) Let x=0.565656...

2) Thus 100x=56.565656...

3) Subtracting equation 1) from 2) gives:

99x=56

4) Rearrange for x:

x=56/99, Also x...