Systems of Linear Equations

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

Solve by elimination: 7x - 9y = 29 and 7x + 2y = -15. What is the solution?

Back

(-1, -4)

Front

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

Back

(1, -1)

Front

Solve by substitution: y = 2x + 3 and 3x - y = 5. What is the solution?

Back

(-2, 1)

Front

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

Back

(6, 3)

Front

What is a system of linear equations?

Back

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

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same, meaning they overlap completely.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then substituted into the other equation.