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Firstly, we need to eliminate on of the terms of the equation, either the x or the y term, by combining the two equations into one equation. To do this we can add or subtract the two equations from each o...

This is a very cunning application of the integration by parts rule. Although it might look at first like integration by parts doesn't apply here since there is only the one factor, there is actually a hi...

There are four trigonometry rules which you need to know: Pythagoras, SohCahToa, the cosine rule and the sine rule. The first two only work on right angle triangles, and the second two apply to non-right ...

1. 2x + 5y = 33 2) x + 3y = 19
   multiply equation 2 by a factor of 2 giving you 2x + 6y = 38 Your two equation are now: 1) 2x + 5y = 33 3) 2x + 6y = 38
   Subtract 3 from 1 to eliminate the x's ...

6 ∫ e^(2x+1) dx 6 ∫ (1/2)(e^(2x+1))3e^(2x+1) + c