System of Equations Flashcard

Front

What does it mean to eliminate?

Back

To get rid of or to take away.

Front

What does it mean to substitute?

Back

To replace or to plug in.

Front

Solve by using elimination method: 2x + 3y = 12 and 4x - y = 1.

Back

(3, 1)

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution.

Front

A system has ____________ when two equations are exactly the same and overlap each other.

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 to have one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines that are the same.

Front

How do you solve a system of equations by substitution?

Back

Solve one equation for one variable and substitute into the other.