Question

Find the intersection of the two lines. $$x+y=4, x-y=12$$

   Find the intersection of the two lines.
$$x+y=4, x-y=12$$

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 8, Problem 6

Instant Answer

Solved by Expert Vipender Yadav

04/16/2020

Step 1

Step 1: We are given two equations: \[x+y=4\] \[x-y=12\] Show more…

Show all steps

lock

Thanks for your feedback!

Find the intersection of the two lines. $$x+y=4, x-y=12$$

Play audio

Feedback

Powered by NumerAI

Vipender Yadav and 90 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Intersection of Lines

The intersection of lines refers to the point where two or more lines cross each other on a coordinate plane. For linear equations, this point represents the set of values that satisfy all the equations in the system, effectively solving the system. It is a key concept in analytic geometry, as it relates algebraic equations to geometric interpretations.

Elimination Method

The elimination method is a strategy for solving systems of linear equations by adding or subtracting the equations to remove one of the variables. This simplifies the system to a single equation with one variable, which can then be solved easily. This method is particularly useful when the coefficients of one of the variables are opposites or identical.

System of Linear Equations

A system of linear equations consists of two or more linear equations that share common variables. The goal is to find values for these variables that satisfy all the equations simultaneously. This concept is fundamental in algebra and is widely used in numerous fields such as engineering, physics, and economics.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later