Topic 4-1 - 4-3 Flashcardizz

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system by elimination?

Back

It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is an infinite number of solutions in a system of equations?

Back

This occurs when the equations represent the same line, meaning any point on the line is a solution.

Front

What is a unique solution in a system of equations?

Back

This occurs when the equations intersect at exactly one point, providing a single solution for the variables.

Front

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

Back

This occurs when the equations represent parallel lines that never intersect.

Front

How do you represent the number of legs of donkeys and chickens in a system of equations?

Back

Let d = number of donkeys and c = number of chickens. The equations would be: d + c = total number of animals and 4d + 2c = total number of legs.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is the purpose of substitution in solving systems of equations?

Back

To solve for one variable in terms of the other, allowing for easier substitution into the other equation.

Front

What is the graphical interpretation of a system of equations?

Back

Each equation represents a line on a graph, and the solution is the point(s) where the lines intersect.

Front

What does it mean for two equations to be dependent?

Back

Dependent equations are those that represent the same line, leading to infinitely many solutions.