Solving Systems by Graphing and Substitution

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

The solution to a system of equations is any ordered pair that makes both equations true. TRUE or FALSE?

Back

TRUE

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

What is the solution to a systems of equations?

Back

ALL OF THE ABOVE (The point or points where they intersect, What the lines have in common, Either a single point, infinite number of points or no points)

Front

The ordered pair that satisfies BOTH equations in the system is called the _____________________

Back

solution

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have no points of intersection and therefore no solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Front

In the substitution method, what do you do after isolating a variable?

Back

Substitute the expression for that variable into the other equation.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are satisfied.

Front

If a system of equations has infinitely many solutions, what does this imply about the lines?

Back

The lines are coincident, meaning they lie on top of each other.