Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be coincident?

Back

Two lines are coincident if they lie on top of each other, having infinitely many solutions.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How do you solve a system of equations by elimination?

Back

You eliminate one variable by adding or subtracting the equations to find the value of the other variable.

Front

What is the ordered pair solution of a system of equations?

Back

The ordered pair (x, y) represents the point where the two lines intersect.

Front

What is the elimination method in solving equations?

Back

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

Front

What is the solution to the system of equations 4x + 7y = 18 and -4x - 3y = -58?

Back

(22, -10)

Front

What is the solution to the system of equations 5x - 3y = 9 and 2x + 6y = 18?

Back

(3, 2)

Front

What does IBNP stand for in classifying systems of equations?

Back

IBNP stands for 'Infinitely Many Solutions' indicating the equations represent the same line.