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

5078 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

The ODE mx'' + cx' + kx = 0 is used to model a damped mass-spring system, where m is the mass, c is the damping constant and k is the spring constant. Describe and explain the behaviour of the system for the cases: (a) c^2>4mk; (b) c^2=4mk; (c) c^2<4mk.


Find the square roots of 2 + isqrt(5)


Prove by induction that n^3+5n is divisible by 3 for every natural number.


Integrate tan(x) wrt x


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