Solving Systems of Linear Equations

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Front

What does the solution (x, y) to a system of equations represent?

Back

The point where the two equations intersect.

Front

In the equation 5x + y = 9 and 10x − 7y = −18, which variable do you eliminate to solve using elimination?

Back

You eliminate y.

Front

What do you multiply the equation 5x + y = 9 by to eliminate y?

Back

Multiply the top equation by 7.

Front

What is the result when solving the system of equations -4x - 4y = 0 and 4x + 4y = 0?

Back

There are an infinite number of solutions.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

What does it mean if two lines intersect at a single point?

Back

The system of equations has a unique solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines coincide?

Back

The system of equations has infinitely many solutions.

Front

What is the elimination method in solving systems of equations?

Back

It involves adding or subtracting equations to eliminate one variable.