Solving Systems of Equations

Front

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

Back

Parallel lines.

Front

What system of equations can be used to find the number of toppings when both pizza companies cost the same?

Back

y = 6.80 + 0.90x and y = 7.30 + 0.65x.

Front

What is the solution to the system of equations graphed by Lesly if the point is (-3,-8)?

Back

The solution is (-3,-8).

Front

What is the solution to the system of equations if the answer is (1, -1)?

Back

The solution is (1, -1).

Front

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

Back

The two lines are 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 in a system of equations are parallel?

Back

They have no points in common and thus no solution.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the two equations represent the same line (coinciding lines).

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.