Outside of class- Understanding Systems of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines are the exact same, overlapping each other.

Front

How do you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = -x + 2?

Back

The slope is -1.

Front

What is the y-intercept of the line represented by the equation y = x - 2?

Back

The y-intercept is -2.

Front

How can you use the Elimination Method to solve a system of equations?

Back

By adding or subtracting equations to eliminate one variable.

Front

What is the solution to the system of equations 2x + 3y = 12 and 4x - 3y = 6?

Back

(3, 2) is the solution.

Front

What does it mean if two lines intersect at exactly one point?

Back

The system of equations has one unique solution.