where x is given by: vs where x equals

Both phrases are correct, but they are used in slightly different contexts. 'Where x is given by:' is commonly used in mathematical contexts to introduce a formula or expression for x. 'Where x equals' is more general and can be used in various contexts to indicate that x has a specific value or is equal to something.

Last updated: March 06, 2024

where x is given by:

This phrase is correct and commonly used in mathematical contexts to introduce a formula or expression for x.

This phrase is typically used in mathematical or technical contexts to specify how x is defined or calculated.

Examples:

Find the value of y where x is given by y + 3 = 10.
The function f(x) = 2x + 1, where x is given by the input value.
Solve the equation where x is given by x^2 - 4 = 0.

Alternatives:

where x is defined as:
where x is expressed as:
where x is represented by:
where x is determined by:
where x is calculated as:

where x equals

This phrase is correct and can be used in various contexts to indicate that x has a specific value or is equal to something.

This phrase is more general and can be used in everyday language to state that x has a particular value or is equal to a specific quantity.

Examples:

In this equation, where x equals 5, solve for y.
Consider the scenario where x equals the total number of participants.
The function f(x) = 2x, where x equals the input value.
Where x equals 0, the function has a root.
The equation is valid only where x equals a positive number.

Alternatives:

where x is equal to
where x is set as
where x is defined as
where x takes on the value of
where x is specified as

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where x is given by: vs where x equals