Sections 5.1-5.4 Review - Solving Linear Systems

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 to solve a system of linear equations?

Back

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

Front

What is the graphical representation of a system of linear equations?

Back

The intersection point(s) of the lines representing the equations.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Front

What is elimination method in solving linear systems?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

Solve by elimination: 3x + 2y = 12 and 6x - 4y = 18.

Back

(2, 3)

Front

What is the substitution method in solving linear systems?

Back

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

Front

Solve by substitution: y = 2x + 1 and 3x - y = 4.

Back

(1, 3)

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations coincide, meaning they are the same line.