U5L3 (Day 2) Classwork: Solving Systems

Front

What is a system of equations?

Back

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

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.

Front

What is the resulting combined equation when using the Elimination Method on the system: 5x - 4y = 11 and 5x + 4y = 4?

Back

10x = 15

Front

Solve the system using elimination: 4x + 8y = 20 and -4x + 2y = -30.

Back

(7,-1)

Front

What is the solution to the system of equations: 4x + y = 6 and x - 2y = 6?

Back

(2,-2)

Front

Which of the following is not a method for solving systems of equations: Elimination, Substitution, Estimation, Graphing?

Back

Estimation

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system of equations has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system of equations has no solutions.

Front

What is the substitution method?

Back

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

Front

What is a unique solution in the context of systems of equations?

Back

A unique solution occurs when the system of equations intersects at exactly one point.