Solving System of Equations-Graphing

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

The same line (coinciding lines).

Front

Is (1,7) a solution for the equations y=3x+4 and y=x+6?

Back

Yes.

Front

Which of the following is not a method for solving systems of equations: Elimination, Substitution, Estimation, Graphing?

Back

Estimation.

Front

Which ordered pair is the solution of the system graphed below: (2, 0), (8, 0), (-3, 5), (3, 8)?

Back

(3, 8).

Front

What is a system of equations?

Back

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

Front

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

Back

They have no points of intersection and thus no solutions.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate a variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.

Front

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

Back

The lines are parallel and do not intersect.