## CCSS.MATH.CONTENT.HSA.REI.C.5: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

There are 29 resources.
Title Description Thumbnail Image Curriculum Nodes

## Definition--Systems Concepts--Inconsistent System

Definition--Systems Concepts--Inconsistent System

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

Solving Systems of Equations

## Definition--Systems Concepts--Simultaneous Equations

Definition--Systems Concepts--Simultaneous Equations

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

Solving Systems of Equations

## Definition--Systems Concepts--Break-Even Analysis

Definition--Systems Concepts--Break-Even Analysis

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

Solving Systems of Equations

## Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, 3

Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 3

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 3 and 4 are grouped together.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, 1

Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 1

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 1 and 2 are grouped together.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations

Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Applications: Systems of Equations

Closed Captioned Video: Algebra Applications: Systems of Equations

In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Applications: Systems of Equations, 3

Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Applications: Systems of Equations, 2

Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 2: Encryption

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

Applications of Linear Systems and Solving Systems of Equations

## Closed Captioned Video: Algebra Applications: Systems of Equations, 1

Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

Applications of Linear Systems and Solving Systems of Equations

## INSTRUCTIONAL RESOURCE: Tutorial: Solving Systems: The Elimination Method

INSTRUCTIONAL RESOURCE: Tutorial: Solving Systems: The Elimination Method

This slide show shows how to solve a system using the elimination method.

Solving Systems of Equations

## INSTRUCTIONAL RESOURCE: Tutorial: Solving Systems: The Substitution Method

INSTRUCTIONAL RESOURCE: Tutorial: Solving Systems: The Substitution Method

This slide show shows how to solve a system using the substitution method.

Solving Systems of Equations

## INSTRUCTIONAL RESOURCE: Tutorial: What Is a System of Equations?

INSTRUCTIONAL RESOURCE: Tutorial: What Is a System of Equations?

This slide show shows what a system of equations is.

Solving Systems of Equations

## Video Transcript: Algebra Applications: Systems of Equations

Video Transcript: Algebra Applications: Systems of Equations

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

This is the transcript for the video of same title. Video contents: Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption

Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption

This is the transcript for the video of same title. Video contents: Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

This is the transcript for the video of same title. Video contents: A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Nspirations: Solving Systems of Equations

Video Transcript: Algebra Nspirations: Solving Systems of Equations

This is the transcript for the video of same title. Video contents: Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Nspirations: Solving Systems of Equations, 1

Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we solve a linear system.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## Video Transcript: Algebra Nspirations: Solving Systems of Equations, 2

Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we use matrices and the elimination method to solve a linear system.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations

## VIDEO: Algebra Nspirations: Solving Systems of Equations, 2

VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2

In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations

## VIDEO: Algebra Nspirations: Solving Systems of Equations, 3

VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations

## VIDEO: Algebra Nspirations: Solving Systems of Equations, 4

VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4

In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations

## VIDEO: Algebra Applications: Systems of Equations

VIDEO: Algebra Applications: Systems of Equations

In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

Applications of Linear Systems and Solving Systems of Equations

## VIDEO: Algebra Applications: Systems of Equations, 1

VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

Applications of Linear Systems and Solving Systems of Equations