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Solve each system of equations.

$$\begin{aligned}2 x-y &=-8 \\y+3 z &=22 \\x-z &=-8\end{aligned}$$

$\{(-2,4,6)\}$

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 North Carolina at Chapel Hill

University of Washington

Oregon State University

Lectures

09:38

In mathematics, an absolut…

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In mathematics, an equatio…

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Solve each system.$$\b…

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02:24

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Solve each system.$$

03:03

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Solve the system of equati…

03:16

03:27

Solve each system of equat…

05:21

Solve each system. See Exa…

01:37

Alright, sums come right out our system here we We have a system of equations on their number of ways. You can solve this. Um, what I'm gonna do first is solve for X in terms of Z plugged that into this equation and then used those two equations to solve for y and Z doing this is gonna give us X equals Z minus e. And then I'm gonna plug right into two Z minus feet minus Why? It was negative feet, right? Because I'm clinging this you're into this equation right here is gonna give us to the minus 16 minus why equals negative, eat or choose a modest why he pulls eat. But now it's a to Z minus. Live was a and y plus three z equals 22. What we What we could do is we can manipulate this equation to say why equals two z minus e and plug that into this equation right here. So we have to z minus B plus three z was 22 is gonna go five z equals 30. He's gonna equal six. Want to know that g of six We can play that back into this equation? right here I get Why equals four once we know it's here. Six and wise four. We know X equals E minus eight. So acts is gonna equal negative, too. Now we have. Our answer is you can plug lives back in.

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