Warm-Up 11/6-11/7

Front

What is the solution to a system of linear equations?

Back

The solution is the point where the graphs of the equations intersect.

Front

How do you solve a system of equations by graphing?

Back

You graph each equation on the same coordinate plane and identify the point of intersection.

Front

What does it mean if two equations represent the same line when graphed?

Back

It means there are infinite solutions, as every point on the line is a solution.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What does it indicate if a system of equations has no solution?

Back

It indicates that the lines are parallel and will never intersect.

Front

What is the graphical representation of the solution (4, 2)?

Back

It is the point where the x-coordinate is 4 and the y-coordinate is 2 on the graph.

Front

How can you determine if a system of equations has one solution, no solution, or infinite solutions?

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.

Front

What is the significance of the coefficients in a system of equations?

Back

They determine the slope and position of the lines when graphed.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.

Front

What does the term 'system of equations' refer to?

Back

It refers to a set of two or more equations with the same variables.