Solving Systems by Graphing and Substitution

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 a system of equations to have a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The lines of the equations plotted on a graph.

Front

What does it mean when two lines intersect on a graph?

Back

It indicates that the system of equations has a unique solution at the point of intersection.

Front

What is substitution in solving systems of equations?

Back

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

Front

How do you check if an ordered pair is a solution to a system of equations?

Back

Substitute the values of the ordered pair into both equations to see if they hold true.

Front

What is slope-intercept form?

Back

A way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the first step in solving a system by graphing?

Back

Graph each equation on the same coordinate plane.

Front

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

Back

It means the system has no solution because the lines never intersect.

Front

What is the solution to the system: x + y = 5 and x - y = 1?

Back

(3, 2) is the solution.