B2A2 4.1 - 4.3 Solving Systems by Graphing, Sub, Elim & Special

Front

What is a system of equations?

Back

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

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What does it mean to solve a system of equations graphically?

Back

Finding the point(s) where the graphs of the equations intersect.

Front

What is the elimination method?

Back

A technique for solving systems of equations by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

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

Front

How do you determine the solution of a system of equations graphically?

Back

By identifying the intersection point(s) of the lines on a graph.

Front

What is the first step in using the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is a special case in systems of equations?

Back

A situation where the system has either no solution or infinitely many solutions.

Front

How can you check if your solution to a system of equations is correct?

Back

By substituting the solution back into the original equations to see if they hold true.