SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect. They have the same slope.

Front

What does it mean if a system of equations has one solution?

Back

It means that the lines represented by the equations intersect at exactly one point.

Front

How can you isolate the y variable in a system of equations?

Back

You can isolate the y variable by manipulating the equations, such as adding or subtracting them after multiplying one or both by a suitable number.

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.

Front

Solve the system using elimination: 3x + 2y = 16 and 7x + y = 19.

Back

(2, 5)

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

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

Back

It means that the lines represented by the equations are parallel and will never intersect.

Front

What is the significance of the slopes of two lines in a system of equations?

Back

If two lines have the same slope, they are parallel and have no solutions. If they have different slopes, they will intersect at one point.

Front

What is the elimination method used for?

Back

The elimination method is used to solve systems of linear equations by eliminating one variable to solve for the other.

Front

What is the result of multiplying an equation by a negative number?

Back

Multiplying an equation by a negative number reverses the inequality and changes the signs of all terms.