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Equation 1: x-2y=3Equation 2: x²+2y²=27The easiest way to do this is to put one of these equations into the other, by rearranging for either x or y. Because there are no squares to d...

A matrix is a representation of a linear map with respect to any basis of vectors of our choice. We often deal with matrices with respect to the standard cartesian basis, (1,0,0) (0,1,0) (0,0,1), but we c...

The first step is to rearrange for x: we have x=2y-3now we can plug this into the equation of the ellipse: y^2+2(2y-3)^2=39y^2-24y+15 = 0we can use the quadratic formula to solve this equation:y = (24+-sq...

Firstly, by looking at the integral, we see that this will have to be done by parts. There are 2 parts of this expression, the 'x' and the 'e^x'. As we know the formula f...

To make x the subject of the formula, we simply want to have x on its own on one side of the equals sign. So we need to remove any numbers on the same side as x. A key rule to remember is that everything ...