Solutions for Systems of Equations

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

How can you determine if a point is a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

What is the solution to the system of equations: y=2x+3 and y=-4x+3?

Back

One Solution.

Front

What does it mean if two lines in a system of equations intersect?

Back

It means there is one unique solution to the system.

Front

What is an infinite number of solutions in a system of equations?

Back

It occurs when the equations represent the same line.

Front

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

Back

The lines are parallel and never intersect.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for a variable and substituting it into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

It involves adding or subtracting equations to eliminate a variable.