Day 1 - Solve Systems by Elimination

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

What does it mean if a system of equations has infinite solutions?

Back

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

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect on a graph.

Front

In the equation 5x - 4y = 11, what is the coefficient of x?

Back

The coefficient of x is 5.

Front

What is the first step in the elimination method?

Back

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

Front

If you have the equations 5x - 4y = 11 and 5x + 4y = -14, which variable can be eliminated?

Back

The y variable can be eliminated.

Front

What is the resulting equation when you add the equations 5x - 4y = 11 and 5x + 4y = -14?

Back

The resulting equation is 10x = -3.

Front

How do you check if your solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if both equations are satisfied.

Front

What does it indicate if two lines are parallel in a system of equations?

Back

It indicates that there is no solution to the system, as the lines never intersect.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the values of the variables that satisfy both equations simultaneously.