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Solve each system.

$$\begin{aligned}x+y-z &=2 \\-x-y+z &=-2 \\2 x+2 y-2 z &=4\end{aligned}$$

$\{(x, y, z) \mid x+y-z=2\}$

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 California, Berkeley

University of Washington

Oregon State University

Lectures

09:38

In mathematics, an absolut…

01:43

In mathematics, an equatio…

02:22

Solve each system.$$\b…

03:09

06:17

Solve each system.$$

00:54

04:05

02:38

Solve each system, if poss…

04:53

03:56

00:47

05:10

Solve each system of linea…

04:47

Solve each system. $$<…

01:22

05:01

02:39

01:00

01:11

06:08

01:40

05:37

02:27

Solve each system of equat…

All right. So you were given kind of interesting system of equations. Negative X minus Y plus the to after us. Why, nine t people's four. All right, so if you were to go about solving this normal, you probably use elimination. And if you do elimination of these 1st 2 problems, what you're gonna get zero equals zero. It seemed a little strange. If you do it with the first problem in the third problem, you're you're also gonna get 00 which might, which means normally for resolving that will be infinitely many solutions, which here is the case. However, that doesn't mean that any solution is a solution. You have to find numbers anywhere X plus y minus Z equals two. And what infinitely many solutions means is that any X, y and Z where this first equation is the case, all of these three equations will hold so you can have answers like four negative 11 um, 1 to 1 any, um, three numbers where the first number, plus the second number minus the third number, equals two. We'll make any of these solution

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In mathematics, an absolute value or modulus is the value of a number withou…

In mathematics, an equation is a statement that two mathematical expressions…

Solve each system.$$\begin{array}{r} x+y-z=2 \\ 2 x-y+z=4 \end{array}$$<…

Solve each system.$$\begin{array}{c} -2 x+2 y-z=4 \\ 2 x-y+z=1 \end{arra…

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$$\begin{array}{r}x+y+z=1 \\2 x+2 y+2 z=2 \\4 x+4…

Solve each system.$$\left\{\begin{aligned}2 x+y &=2 \\x+…

Solve each system, if possible.$$\left\{\begin{array}{l}2 x+y=4 \\x-z=2 …

Solve each system.$$\left\{\begin{aligned} 2 x+2 y+z &=4 \\ w &a…

Solve each system.$$\left\{\begin{array}{l}x+y+z=4 \\2 x+y-z…

Solve each system.$$\left\{\begin{aligned} x+y+z &=2 \\ 2 y-2 z …

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Solve each system, if possible.$$\left\{\begin{array}{l}x+y=2 \\y+z=2 \\…

Solve each system.$$\begin{aligned} 2 x-y &=-1 \\ -2 x+z &=1 \\ …

Solve each system.$$\begin{array}{r}4 x-2 y-2 z=5 \\2 x-y-z=7 \\-4 x+2 y…

Solve each system.$$\begin{aligned}-x+2 y-z-1 &=0 \\-x-y-z+2…

Solve each system.$$\left\{\begin{aligned}4 x-y+2 z &=11 \\<…

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00:24

For all exercises in this section, assume that the variables represent nonze…

00:15

Write out the answers to these questions. Use complete sentences.What is…

00:11

Perform these computations.$$0 \div(-0.15)$$

01:02

Find each product or quotient.$$-p(p-1)$$

01:05

Solve each system by substitution or addition, whichever is easier.$y=3 …

00:34

Find the value of each determinant.$\left|\begin{array}{rr}-2 & 2 \\…

00:33

Perform each computation. Make use of appropriate rules to simplify each pro…

01:01

Find each product or quotient.$$-x(1-x)$$

02:36

Solve each problem.Jessenda is ordering tacos at $\$ 0.75$ each and burr…

01:41

Solve each system of equations.

$$\begin{aligned}x+y &=4 \\y-z &…