Homework #3: Systems of Equation | Elimination

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations using elimination?

Back

Solving a system of equations using elimination involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by eliminating one variable, allowing you to solve for the other variable.

Front

How do you eliminate a variable in a system of equations?

Back

You can eliminate a variable by adding or subtracting the equations after multiplying them by suitable coefficients to make the coefficients of one variable equal.

Front

What is the solution to the system of equations -4x - 2y = -12 and 4x + 8y = -24?

Back

(6, -6)

Front

What is the solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30?

Back

(7, -1)

Front

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

Back

An infinite number of solutions means that the equations represent the same line, and every point on that line is a solution.

Front

What is the solution to the system of equations -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

What is the coordinate form of the solution for x = -4 and y = -5?

Back

(-4, -5)

Front

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

Back

Identify which variable you can eliminate by adding or subtracting the equations.