Review Systems of Linear Equations

Front

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

Back

They have infinite solutions.

Front

How many solutions do parallel lines have?

Back

0 solutions.

Front

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

Back

Solve one of the equations for one variable.

Front

What is the solution to the system of equations: y = -4x + 5 and y = 3x - 16?

Back

(3, -7)

Front

What is the solution to the system of equations: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is a system of linear equations?

Back

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

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

What is the slope of a line?

Back

The rate at which y changes for a change in x.

Front

How do you determine if two lines are parallel?

Back

They have the same slope but different y-intercepts.