Simultaneous Equations
So I’ve set out a sheet with a few examples of how to do simultaneous equations. The first method shows a simple graphic representation where you can get an estimate of the solutions, but I then show how this can get tricky and inaccurate very fast. I have then set out a very clear and methodical ‘model’ answer to the harder problem. You can see I have done my working off to the side to reduce the error of mental arithmetic, leading by example.
After, I would then ask them to recreate my method if it appealed to them with a different problem. If not, I would use the new problem to demonstrate solving the equations through substitution. I would proceed according to which method they found more helpful. For high achieving A-level students, I may then combine the topic with trigonometry.
Related Maths A Level answers
All answers ▸Find the integral of xcosx(dx)
Let w, z be complex numbers. Show that |wz|=|w||z|, and using the fact that x=|x|e^{arg(x)i}, show further that arg(wz)=arg(w)+arg(z) where |.| is the absolute value and arg(.) is the angle (in polar coordinates). Hence, find all solutions to x^n=1 .
How can I calculate the standard deviation of a data set?
Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).