ELIMINATION Learning Check (systems of equations)

Front

Solve the system of linear equations: 5x - 3y = -36 and 2x + 3y = 15

Back

(-3, 7)

Front

What is the best first step to solve this system by elimination? 5x - 3y = -36 and 2x + 3y = 15

Back

Add the equations to eliminate y

Front

The solution to a system of linear equations is ALWAYS...

Back

an ordered pair

Front

Solve the system of linear equations: -4x - 2y = -12 and 4x + 8y = -24

Back

(6, -6)

Front

Solve the system of linear equations: -2x - 10y = 22 and 2x + 5y = -12

Back

(-1, -2)

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

Front

When is it appropriate to use the elimination method?

Back

When the coefficients of one variable are opposites or can be made opposites.

Front

What is a system of linear equations?

Back

A set of two or more linear 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.