Solving Systems of Equations-Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations by elimination?

Back

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

Front

What is the solution to a system of equations?

Back

The point (x, y) where the equations intersect, representing the values of the variables that satisfy all equations in the system.

Front

What are parallel lines?

Back

Lines in a plane that never intersect and have the same slope.

Front

What is the significance of slopes in determining if lines are parallel?

Back

If two lines have the same slope, they are parallel and will never meet.

Front

How do you determine if a system of equations has no solution?

Back

If the equations represent parallel lines, they will never intersect, indicating no solution.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the graphical method of solving systems of equations?

Back

Plotting both equations on a graph to find the point of intersection.

Front

What is the elimination method?

Back

A method of solving systems of equations by adding or subtracting equations to eliminate one variable.