Solving Systems

Front

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

Back

Parallel lines.

Front

What is the solution to a system of equations with no solution?

Back

No Solution.

Front

Use the Elimination method to solve: -4x - 2y = -12 and 4x + 8y = -24.

Back

(6,-6)

Front

What is the solution to the system of equations: 2x + 3y = -6 and 4x - 6y = 12?

Back

(-2, 3)

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines.

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 two lines are parallel in a system of equations?

Back

They have no points in common, hence no solution.

Front

What is the graphical representation of a system with infinite solutions?

Back

The same line represented by two equations.

Front

What method can be used to solve systems of equations?

Back

Substitution, Elimination, or Graphing.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for a variable and substituting it into the other equation.