Front

What is a linear system?

Back

A linear system is a collection of two or more linear equations involving the same variables.

Front

What does it mean to solve a linear system?

Back

To solve a linear system means to find the values of the variables that satisfy all equations in the system simultaneously.

Front

What are the three methods to solve linear systems?

Back

The three methods are: 1) Graphing, 2) Substitution, 3) Elimination.

Front

What is the elimination method?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

If a linear system has no solution, it means the lines represented by the equations are parallel and never intersect.

Front

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

Back

If a linear system has infinitely many solutions, it means the equations represent the same line, and there are countless points of intersection.

Front

What is the substitution method?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is a consistent system?

Back

A consistent system is one that has at least one solution.