simultaneous equations

USAGE SUMMARY

The phrase "simultaneous equations" is correct and usable in written English.
You can use it when you are referring to equations that have multiple solutions and involve more than one variable. For example, "In mathematics, solving simultaneous equations can require complex mathematical calculations."

✓ Grammatically correct

Academia

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

They're simultaneous in the same way these are simultaneous equations.

Massachusetts Institute of Technology

To them, invasion is an equation, even a set of simultaneous equations.

The New Yorker

The fact is that this is a circular problem that in theory can only be solved by simultaneous equations.

Harvard Business Review

We also raise the problem of solving two simultaneous equations in two dimensions.

Massachusetts Institute of Technology

Topics discussed include simultaneous equations, panel models and limited dependent variable models.

Cornell University

Topics include classical regression and simultaneous equations models; panel data; and limited dependent variables.

Yale University

We consider identification in a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008).

Yale University

Typically, equilibrium is defined as the solution to a system of simultaneous equations.

Yale University

This is a set of three simultaneous equations in three unknowns.

University of California, Berkeley

Maybe you didn't realize that they are just simultaneous equations that you solve.

Yale University

A set of equations that has a common solution is called a system of simultaneous equations.

Encyclopedia Britannica

Expert writing Tips

Best practice

When describing a problem that requires solving for multiple unknowns, use "simultaneous equations" to clearly indicate that the equations must be solved together to find a common solution.

Common error

Avoid using "simultaneous equations" when referring to equations that can be solved individually. "Simultaneous equations" specifically implies that the equations are linked and need to be solved together.

Linguistic Context

The phrase "simultaneous equations" functions as a noun phrase, typically acting as the subject or object in a sentence. It refers to a set of equations that must be solved together to find a common solution. As Ludwig AI indicates, the phrase is grammatically correct and widely used.

Expression frequency: Very common

Frequent in

Academia

50%

Science

30%

News & Media

10%

Less common in

Encyclopedias

5%

Formal & Business

3%

Wiki

2%

Ludwig's WRAP-UP

The term "simultaneous equations" is a grammatically correct and very common noun phrase used to describe a set of equations that need to be solved together. As Ludwig AI confirms, it's widely accepted in written English. Predominantly found in academic and scientific contexts, it accurately defines mathematical problems where multiple interdependent equations require a unified solution. While alternative phrases like "system of equations" exist, they may carry slightly different nuances. When using "simultaneous equations", ensure that the equations truly are interdependent and necessitate joint resolution.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

system of equations

Focuses on the structured arrangement of multiple equations, rather than the act of solving them concurrently.

equation system

This alternative phrase reverses the order of the words.

coupled equations

Emphasizes the interdependence between equations in the system.

linked equations

Highlights the connections and relationships within the set of equations.

interdependent equations

This alternative emphasizes the mutual dependence of the equations.

mathematical model

Broadens the scope to represent the overall system being described by the equations.

algebraic equations

Specifies the type of equations involved, focusing on their algebraic nature.

set of equations

This phrase is a more general way to refer to multiple equations.

mathematical relationships

Shifts the focus to the relationships described rather than the equations themselves.

formula system

Suggests a structured compilation of formulas to express some concept.

FAQs

How are "simultaneous equations" used in mathematical modeling?

"Simultaneous equations" are used to model systems where multiple variables are interdependent, requiring the equations to be solved together to find a consistent solution.

What's the difference between "simultaneous equation" and "simultaneous equations"?

"Simultaneous equation" refers to a single equation within a system, while "simultaneous equations" refers to the entire system of multiple equations that need to be solved together.

What are some methods for solving "simultaneous equations"?

Common methods include substitution, elimination, and matrix methods. The choice of method depends on the complexity and structure of the "simultaneous equations".

In what fields are "simultaneous equations" commonly used?

"Simultaneous equations" are used across various fields, including physics, engineering, economics, and computer science, to model and solve problems involving interconnected variables.