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?

Back

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

Front

What is the elimination method?

Back

A technique for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the substitution method?

Back

A technique for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

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 infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you graph a system of equations?

Back

Plot each equation on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the first step in the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

How can you manipulate equations to use the elimination method?

Back

You can multiply one or both equations by a constant to create coefficients that will cancel out when added or subtracted.

Front

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

Back

(3, 0) - found by using either elimination or substitution.