Module 6 Flashcard Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What does the solution (-3, 1) represent in a system of equations?

Back

It represents the point where the two equations intersect, meaning x = -3 and y = 1 satisfy both equations.

Front

What is the solution to the system: 3x - y = 7 and 2x + y = 3?

Back

(2, -1)

Front

What is the first step in solving the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

You can use either substitution or elimination to solve for one variable first.

Front

What is the solution to the system: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

How do you represent a real-world situation with a system of equations?

Back

Identify the variables, create equations based on the relationships, and ensure they reflect the situation accurately.

Front

What is the meaning of the coefficients in a system of equations?

Back

Coefficients represent the rate of change or the weight of each variable in the equations.

Front

What is the solution to the system using substitution: y = 6x - 11 and -2x - 3y = -7?

Back

(2, 1)

Front

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

Back

It represents the solution to the system, where all equations are satisfied simultaneously.