Systems of Equations Review

Front

What is a system of equations?

Back

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

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are the same line.

Front

How do you eliminate a variable in a system of equations?

Back

You can add or subtract the equations to eliminate one variable.

Front

What is the substitution method?

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting the equations to eliminate one variable.

Front

What is the graphical method of solving a system of equations?

Back

Plotting the equations on a graph and finding the point(s) where they intersect.

Front

What is the solution to the system of equations 7x + 2y = 24 and 8x + 2y = 30?

Back

(1, 8) is the solution.

Front

What is the solution to the system of equations 7x + y = -9 and -3x - y = 5?

Back

(-1, -2) is the solution.