Quick Check: Solving Systems by Elimination

Front

What is a system of equations?

Back

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

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.

Front

What is the elimination method?

Back

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

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

How do you represent a system of equations using matrices?

Back

By creating an augmented matrix that includes the coefficients and constants of the equations.

Front

What is the purpose of using matrices in solving systems?

Back

To simplify calculations and find solutions more efficiently.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does it mean for two equations to be in standard form?

Back

Both equations are written as Ax + By = C, making them easier to compare and manipulate.

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 is the graphical method of solving systems?

Back

Plotting the equations on a graph to find the point(s) where they intersect.