Solving Systems by Elimination

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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point (x, y) where the two lines intersect.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the graphical method of solving systems of equations?

Back

The graphical method involves plotting both equations on a graph and identifying the point of intersection.

Front

What does it mean if two lines have different slopes?

Back

If two lines have different slopes, they will intersect at exactly one point.

Front

What is a system of equations?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x=0.

Front

How can you determine if a system of equations has no solution?

Back

A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

Front

What is the purpose of the elimination method?

Back

The purpose of the elimination method is to simplify the process of solving systems of equations by removing one variable.