Q2W7 Weekly Flashcard

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 by graphing?

Back

It involves plotting the equations on a graph and finding the point(s) where they intersect.

Front

What is the Elimination Method in solving systems of equations?

Back

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

Front

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

Back

It means the lines representing the equations are parallel and never intersect.

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

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

Back

By identifying the point(s) where the graphs of the equations intersect.

Front

What is the solution to the system of equations x - y = 11 and 2x + y = 19?

Back

(10, -1) using the Elimination Method.

Front

What is the solution to the system of equations 2x − 3y = −1 and y = x − 1?

Back

(4, 3) after substitution.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions since both graphs are the same.

Front

What is the graphical representation of the solution (1, 3)?

Back

It is the point where the two lines intersect on a graph.