What is the geometric interpretation of the solution to a system of linear equations in two variables?

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Q: What is the geometric interpretation of the solution to a system of linear equations in two variables?

Solution: The solution to a system of linear equations in two variables is represented by the point where the two lines intersect.

Steps: 5

Step 1: Understand that a system of linear equations in two variables consists of two equations, each representing a line on a graph.
Step 2: Each equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
Step 3: When you graph both lines on the same coordinate plane, you will see two lines that may intersect at a point.
Step 4: The point where the two lines intersect is the solution to the system of equations.
Step 5: This intersection point represents the values of the two variables that satisfy both equations at the same time.