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'system of equations' is a correct and usable phrase in written English.
It is generally used in math and science contexts to refer to a set of equations that are related and must be solved together. For example, "The system of equations comprised x + y + z = 6, 3x + y - z = 3, and 2x + 5y = 17."
Dictionary
system of equations
noun
A set of equations required to be met simultaneously or considered as a whole
Exact(58)
See also system of equations.
How much was it five years ago? 2. What is the value of X in this system of equations?
forming the following system of equations: (10).
we find the system of equations (22).
Solving the system of equations, we get.
The system of equations is analytically solved.
Again such explananda are deducible from the system of equations used to model juvenile delinquency.
We solve this system of equations in two steps.
The above system of equations yields to and if.
From this, we obtain the system of equations: (25).
The last system of equations can be rewritten as (7).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com