Graphing System of Equations

Front

What is a system of equations?

Back

A system of equations is two equations with two unknown variables.

Front

What does it mean if a system of linear equations has one solution?

Back

It means the two lines are intersecting lines.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

How do you represent a system of equations graphically?

Back

A system of equations is represented graphically by plotting the lines of each equation on the same coordinate plane.

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 is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

If two lines are parallel, what can be said about their system of equations?

Back

If two lines are parallel, the system of equations has no solution.

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect, representing the values of the variables that satisfy both equations.

Front

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

Back

You can check by substituting the solution back into both original equations to see if they hold true.

Front

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

Back

It means the two equations represent the same line, and every point on that line is a solution.