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

5189 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?


What are differential equations, and why are they important?


Find the integrating factor of the following first order ODE: dx/dt = -2tx +t.


Can you express 3 + 4j in polar form?


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