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 to solve a system of equations?

Back

Finding the values of the variables that make all equations true simultaneously.

Front

What is the solution to a system of equations?

Back

An ordered pair (x, y) that satisfies all equations in the system.

Front

What does it mean if two lines intersect at a point on a graph?

Back

The system of equations has one unique solution.

Front

What does it mean if two lines are parallel on a graph?

Back

The system of equations has no solution.

Front

What does it mean if two lines overlap on a graph?

Back

The system of equations has infinitely many solutions.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them with a straight line.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.