How do I solve a simultaneous equation with more unknowns than equations?

If a set of equations has more unknowns than equations, you cannot get a value for each unknown. However, you can find the relationships between the variables.Start by rearranging one variable in terms of the others and then plug that equation into the others, eliminating one variable. You will then be able to link the rest of the variables together in terms of each other.Finally, set one variable as a parameter, say u, and give the values of all the variable in terms of that uniting parameter.For example, you will end up with something like:x = 2u - 1y = 1/2u + 4z = u

Related Further Mathematics A Level answers

All answers ▸

Solve the differential equations dx/dt=2x+y+1 and dy/dt=4x-y+1 given that when t=0 x=20 and y=60. (A2 Further pure)


Using graphs, show how the Taylor expansion can be used to approximate a trigonometric function.


solve 3sinh^2(2x) + 11sinh(2x) = 4 for x, giving your answer(s) in terms of the natural log.


Integrate (x+4)/(x^2+2x+2)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences