Review for 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 if two lines are parallel in a system of equations?

Back

The system has no solution because the lines never intersect.

Front

What is the solution of a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What does it mean if two lines in a system are identical?

Back

The system has infinite solutions because every point on the line is a solution.

Front

How do you convert an equation to slope-intercept form?

Back

Front

Back

The slope is 4.

Front

Back

The y-intercept is 5.

Front

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

Back

The lines intersect at exactly one point.

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel, they do not intersect, indicating no solution.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable in terms of the other.