Solving System of Linear Equation

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean for a system of equations to have a solution?

Back

It means there is at least one point where the equations intersect.

Front

What are the possible types of solutions for a system of equations?

Back

A single point, infinite number of points, or no points.

Front

How can you graphically represent a system of linear equations?

Back

By plotting each equation on the same coordinate plane.

Front

What does it mean if two lines are parallel in a system of equations?

Back

The system has no solution because the lines never intersect.

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 elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

What is the graphical method for solving systems of equations?

Back

Plotting both equations on a graph and identifying their intersection point.

Front

What does it mean if two lines intersect at one point?

Back

The system has a unique solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solution, typically represented by parallel lines.