Question

A system of two linear equations in two variables can have one solution, ______solution, or _______ ______solutions.

Short answer

No solution, infinitely many solutions

Step-by-step solution

Step 1. Given information

In this question, we have been given a sentence.

Step 2. Concept used

The system of linear equations is the collection of one or more linear equations involving the same set of variables.

We need to complete the given sentence.

By the process of the system of equations, we will calculate the result.

Step 3. Calculation

As we know the system of linear equations is the collection of one or more linear equations involving the same set of variables.

Therefore, a system of equations in two variables can have one solution, no solution, or infinitely many solutions.