Solving 2 Variable Systems

Front

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

Back

Get both equations in standard form and line up the like terms.

Front

What is the best method to use for the equations y = −3x + 5 and 5x − 4y = −3?

Back

Substitution because a variable is defined.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What is the best method to use for the equations −4x − 2y = −12 and 4x + 8y = −24?

Back

Elimination because the equations are in standard form.

Front

Does the system 8x + 4y = 12 and y = -2x + 3 have one, none, or infinite solutions?

Back

Infinitely many solutions.

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 be consistent?

Back

It has at least one solution.

Front

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

Back

It has no solutions.

Front

What is the elimination method?

Back

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

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.