Solving Systems of Equations: Graphing and Substitution

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Front

Why do parallel lines never intersect?

Back

Because they have the same slope.

Front

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

Back

The lines representing the equations are parallel and never meet.

Front

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

Back

The lines representing the equations are the same line.

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

If two lines intersect at one point, what does that indicate about the system of equations?

Back

There is one unique solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.