Systems of equations

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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the substitution method?

Back

A method for solving systems of equations where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method?

Back

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

Front

What is slope-intercept form?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What is the y-intercept of a line?

Back

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of each other, meaning the product of their slopes is -1.

Front

How can you check if a solution is correct for a system of equations?

Back

Substitute the solution back into both equations to see if they hold true.