A2 Systems Study Guide (1B & 4B)

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can multiply one or both equations by a number so that when you add or subtract the equations, one variable cancels out.

Front

What is the solution to the system of equations: -2x - 5y = -15 and x + 8y = 13?

Back

(5, 1)

Front

What does it mean if a system of equations has no solution?

Back

It means that 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

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the first step in using the elimination method?

Back

Identify which variable you want to eliminate and manipulate the equations accordingly.

Front

Back

(2, 5)

Front

What is the solution to the system: x = 7 - 2y and 2x + y = 5?

Back

(1, 3)

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions.