Flashcard 6.1-6.2 Solving Systems of Equations Using Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What does it mean if a system of equations has 0 solutions?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the solution to the system of equations represented by the point (6, -2)?

Back

The point (6, -2) is the intersection of the two lines, meaning it is the solution to the system.

Front

How do you use substitution to solve a system of equations?

Back

You solve one equation for one variable and substitute that expression into the other equation.

Front

What is the solution to the system represented by the point (1, -1)?

Back

The point (1, -1) is the intersection of the two lines, meaning it is the solution to the system.

Front

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

Back

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

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines representing the equations.

Front

What is the first step in graphing a system of equations?

Back

Identify the equations and convert them to slope-intercept form if necessary.

Front

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

Back

The system of equations has one unique solution.

Front

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

Back

If the lines are parallel and do not intersect, the system has no solution.