Steps to Solving Systems by Elimination & HOY_VUX

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

In the equation 4x + 8y = 20, what is the coefficient of y?

Back

The coefficient of y is 8.

Front

What does HOY_VUX stand for in graphing lines?

Back

HOY_VUX stands for Horizontal lines (y = constant) and Vertical lines (x = constant).

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In the system of equations 4x + 8y = 20 and -4x + 2y = -30, which variable is eliminated when using elimination?

Back

The variable x is eliminated.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

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

Back

A system has no solution if the lines represented by the equations are parallel.

Front

What does it mean if two equations are dependent?

Back

Two equations are dependent if they represent the same line, meaning they have infinitely many solutions.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.