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

HM
Answered by Hayden M. Further Mathematics tutor

5218 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

What IS a Taylor Series?


How would you use the Integration Factor method to solve an ordinary first-order linear differential equation?


Show that cosh^2(x)-sinh^2(x)=1


Find the displacement function if the acceleration function is a=2t+5. Assume a zero initial condition of displacement and v=8 when t=1.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning