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Solve each system of equations.$$\begin{aligned}x+y-z &=6 \\y+z &=11 \\y-z &=3\end{aligned}$$

$\{(3,7,4)\}$

Algebra

Algebra 2

Chapter 4

Systems of Linear Equations

Section 3

Systems of Linear Equations in Three Variables

Polynomials

Systems of Equations and Inequalities

Introduction to Algebra

Graph Linear Functions

Write Linear Equations

Linear Equations and Functions

Matrices and Determinants

Johns Hopkins University

University of Texas at Austin

University of Washington

Lectures

09:38

In mathematics, an absolut…

01:43

In mathematics, an equatio…

03:08

Solve each system, if poss…

02:27

Solve each system of linea…

03:25

Solve each system.$$

03:40

Solve each system of equat…

01:14

01:44

02:00

Solve each system.$$\b…

00:48

02:35

Solve the system of equati…

05:26

All right. So we're we're giving our system of equations. X plus y minus is equal. Six. Why? Plays equals 11. And why minus equals three. So our first step again, it's gonna speed to solve, um, two of the variables and then plugged them into this first equation with all the variables. So here were given a system to equations with two unknowns. We know how to solve that. Using substitution seventies away from, um you need to do this is to see that you can move. This is the over you have. Why equals three folks z and then you plug this into this first equation right here. Well, I proceed was 11. So you're gonna have three closely for us. Z equals 11 to z is gonna people see is getting people for once, you have the equals. Four. You conflict that into this equation right here. While I minus disease, which is four equals three by minus. C was four. Um, I'm sorry. Y minus four equals three wise cynical seven. And now we use this facelift agent give X What? We don't know Also. Why which we know seven minus zero. Ichinose fourth equal six that will give us ex post threequel six, which is gonna give us acts equals three. Now we have our ordered pair X comma y common Z equals three comma 7/4.

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