Solving Systems of Equations by Substitution and Elimination

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 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 equations to eliminate one variable.

Front

What is standard form of a linear equation?

Back

An equation written as Ax + By = C, where A, B, and C are integers.

Front

How do you determine which variable to eliminate in the elimination method?

Back

Choose the variable that has coefficients that are opposites or can easily be made opposites.

Front

What is the first step in solving a system of equations by elimination?

Back

Get both equations in standard form and line up the like terms.

Front

What is the solution to the system: x + 3y = 9 and 2x + y = -2?

Back

(-3, 4)

Front

What is the solution to the system: -3x + 3y = 18 and 5x - 3y = -26?

Back

(-4, 2)

Front

What is the solution to the system: 3x - y = 7 and 2x + y = 3?

Back

(2, -1)