Solving Systems of Equations 2x2

In this video, Daniel Carrión explains how to solve a 2x2 system of equations using the method of reduction, also known as the method of addition or subtraction. The video begins with an introduction to basic concepts, followed by a detailed example where a system is solved step-by-step. The solution is verified for correctness, and a second example is provided to reinforce the learning. The video concludes with additional exercises for viewers to practice and encourages engagement through comments and social media.

What is a 2x2 system of equations?

• A set of two equations with two different variables.

• A set of two equations with three variables.

• A set of three equations with two variables.

• A single equation with two variables.

What is the goal when solving a system of equations?

• To find the sum of the variables.

• To multiply the equations.

• To find the values of the variables that satisfy both equations.

• To eliminate one of the variables.

What is the first step in the reduction method?

• Divide one equation by a number.

• Subtract the equations.

• Add the equations together.

• Multiply one equation by a number to eliminate a variable.

Why do we multiply one of the equations by -1 in the reduction method?

• To find the sum of the variables.

• To divide the equation.

• To make the equation simpler.

• To make one of the variables negative and eliminate it.

In the first example, what is the value of x?

• 4

• 2

• 8

• 6

In the first example, what is the value of y?

• 4

• 2

• 6

• 8

How do you verify the solution of a system of equations?

• Substitute the values of the variables back into the original equations.

• Multiply the equations together.

• Add the equations together.

• Divide the equations by the variables.

In the second example, what is the value of x?

• 7

• 3

• 5

• 9

In the second example, what is the value of y?

• 9

• 5

• 7

• 3

What should you do if you want to check the correctness of your solution?

• Add the equations together.

• Divide the equations by the variables.

• Multiply the equations by the variables.

• Substitute the values into the original equations.