Solve Systems by Graphing

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 means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.

Front

What is the solution to the system of equations y = 2x + 1 and y = 1/2x - 2?

Back

(-2, -3)

Front

What is the solution to the system of equations x + y = -1 and x - y = 3?

Back

(1, -2)

Front

What is the solution to the system of equations x + 4y = -8 and 3x + 2y = 6?

Back

(4, -3)

Front

What is the solution to the system of equations y = 4/3x + 2 and y = 1/3x - 1?

Back

(-3, -2)

Front

What is the solution to the system of equations y = -5x - 1 and y = -x + 3?

Back

(-1, 4)

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane that shows all the solutions to the equation.

Front

What does the point of intersection represent in a system of equations?

Back

It represents the solution to the system, where both equations are true.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect, the system has no solution.