Question

fill in the blank:
a system of equations is ______ equations that show a relationship among the given variables.

• one or more
• two or more
• two
• at least three

Explanation:

Define a system of equations

Using the Linear Equations knowledge point

A system of equations is a collection of two or more equations sharing the same set of variables.

Analyze the options

• "one or more": A single equation is not considered a system.
• "two or more": This is the standard mathematical definition, as a system can contain two, three, or more equations.
• "two": While many systems have two equations, a system can also have more than two.
• "at least three": A system can consist of exactly two equations, so this is too restrictive.

Select the correct option

The phrase "two or more" accurately and completely defines the minimum number of equations required to form a system.

Answer:

Fill in the blank:

A system of equations is * one or more equations that show a relationship among the given variables.

• two or more (Correct answer)
• two
• at least three