Linear Systems Review

Front

True or False; The point where two lines touch is a solution to a linear system.

Back

TRUE

Front

If two lines are the SAME, the system has...

Back

Infinite solutions.

Front

Solve the following system using elimination: y + x = 3, -y + 2x = 9

Back

(4, -1)

Front

How many solutions would the following system have? 2y + x = 4, 2y = -x + 4 (Hint: Rearrange one of the equations)

Back

Infinite solutions.

Front

If two lines touch ____, the system has ONE solution.

Back

once

Front

What is a linear system?

Back

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

Front

What does it mean for a system to have no solutions?

Back

The lines are parallel and never intersect.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the substitution method in solving linear systems?

Back

Solving one equation for a variable and substituting it into the other equation.

Front

What is the elimination method in solving linear systems?

Back

Adding or subtracting equations to eliminate a variable.