SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

What does it mean to solve a system of equations by elimination?

Back

Solving a system of equations by elimination involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.

Front

Solve the system by elimination: 4x + 12y = -1 and -3x - 9y = 0.

Back

No solution.

Front

Solve by elimination: 4x + 4y = 4 and 3x + 4y = 10.

Back

(-6, 7)

Front

Solve the system by elimination: 5x + 8y = -12 and 3x + 5y = -7.

Back

(-4, 1)

Front

Solve using Elimination: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7, -1)

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by removing one variable, allowing for easier calculation of the remaining variable.

Front

What is a consistent system of equations?

Back

A consistent system of equations has at least one solution.

Front

What is an inconsistent system of equations?

Back

An inconsistent system of equations has no solutions.

Front

What is a dependent system of equations?

Back

A dependent system of equations has infinitely many solutions, as the equations represent the same line.