simultaneous equations: meaning, definition, pronunciation and examples
C1Academic, Technical (Mathematics, Science, Engineering, Economics)
Quick answer
What does “simultaneous equations” mean?
A set of two or more equations that must all be true at the same time, and that contain shared variables.
Audio
Pronunciation
Definition
Meaning and Definition
A set of two or more equations that must all be true at the same time, and that contain shared variables.
A mathematical model used to find the values of variables that satisfy multiple conditions concurrently. In a broader sense, it can metaphorically describe a situation where multiple interdependent factors or constraints must be resolved together.
Dialectal Variation
British vs American Usage
Differences
No significant lexical difference. Both use the term identically.
Connotations
Identical. Purely technical with no regional connotative variation.
Frequency
Identical. Frequency is tied entirely to the context of mathematics education and technical fields in both regions.
Grammar
How to Use “simultaneous equations” in a Sentence
solve + [simultaneous equations]express + [a problem] + as + [simultaneous equations]find + [the solution] + to + [the simultaneous equations]Vocabulary
Collocations
Examples
Examples of “simultaneous equations” in a Sentence
verb
British English
- We need to **simultaneously solve** the equations.
American English
- We need to **solve the equations simultaneously**.
adverb
British English
- The variables are determined **simultaneously**.
American English
- The variables are solved for **simultaneously**.
adjective
British English
- The **simultaneous equation** problem on the exam was tricky.
American English
- The **simultaneous equations** problem on the exam was tricky.
Usage
Meaning in Context
Business
Rare. Might appear in quantitative economic modelling or complex optimisation scenarios.
Academic
Primary context. Standard term in secondary and tertiary mathematics, physics, engineering, and economics curricula.
Everyday
Very rare. Only used when discussing school-level mathematics.
Technical
Common. Essential terminology in scientific computing, engineering design, and operations research.
Vocabulary
Synonyms of “simultaneous equations”
Neutral
Weak
Vocabulary
Antonyms of “simultaneous equations”
Watch out
Common Mistakes When Using “simultaneous equations”
- Treating 'simultaneous' as an optional descriptor (e.g., 'I solved the equations' vs. 'I solved the simultaneous equations' when the system aspect is key).
- Using a singular verb: 'This simultaneous equations is hard.' (Correct: 'These simultaneous equations are hard.')
FAQ
Frequently Asked Questions
There is no practical difference; they are synonyms. 'System of equations' is a more general and slightly more formal term.
Yes. Simultaneous equations can involve any number of variables (e.g., x, y, z), but you need at least as many independent equations as variables to find a unique solution.
It is treated as plural because 'equations' is the head noun (e.g., 'These simultaneous equations are difficult').
Because the solution must satisfy all the equations in the set at the same time (simultaneously).
A set of two or more equations that must all be true at the same time, and that contain shared variables.
Simultaneous equations is usually academic, technical (mathematics, science, engineering, economics) in register.
Simultaneous equations: in British English it is pronounced /ˌsɪməlˈteɪniəs ɪˈkweɪʒ(ə)nz/, and in American English it is pronounced /ˌsaɪməlˈteɪniəs ɪˈkweɪʒənz/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of two trains (equations) heading for the same station (solution). They must arrive SIMULTANEOUSLY at the point where they cross paths.
Conceptual Metaphor
PUZZLE-SOLVING (finding the key that unlocks multiple locks at once), INTERSECTION (finding the point where multiple lines or conditions meet).
Practice
Quiz
In which context is the term 'simultaneous equations' LEAST likely to be used?