Solving Systems Flashcard Review

Front

What does a graph with no solution look like?

Back

A graph with no solution looks like parallel lines.

Front

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

Back

The best method to use is Elimination because the equations are in standard form.

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect.

Front

Solve the following System of Equations using the Substitution Method: 2x + y = 8 and y = 3x. What is the solution?

Back

(2, 6)

Front

What does it mean if two lines in a system of equations are the same line?

Back

It means there are infinitely many solutions.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does it mean if two lines in a system of equations intersect?

Back

It means there is exactly one solution to the system.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.