Solving Systems by Substitution and Graphing

Front

If 2 lines are parallel, then there is _________solution/s.

Back

no

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

What is the solution if both lines are graphed over each other?

Back

Infinitely Many Solutions

Front

If the lines overlap meaning they are the same line, then there is ________ solution/s.

Back

infinite

Front

Which equation is set up correctly if you were to solve this system by substitution? y = 2x + 5, -4x + y = 9

Back

-4x + 2x + 5 = 9

Front

What is a system of equations?

Back

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

Front

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

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines are the same line.

Front

What is the substitution method?

Back

A method for solving systems of equations by replacing one variable with an expression from another equation.

Front

What does it mean if two lines are intersecting?

Back

They have one solution, where they cross each other.