Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Solve each system of equations.

$$\begin{array}{r}-2 x+3 y-4 z=3 \\3 x-5 y+2 z=4 \\-4 x+2 y-3 z=0\end{array}$$

$\{(1,-1,-2)\}$

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

University of North Carolina at Chapel Hill

Michigan State University

Lectures

09:38

In mathematics, an absolut…

01:43

In mathematics, an equatio…

03:57

Solve each system of equat…

01:01

Solve each system.$$\b…

04:40

03:55

Solve each system of linea…

02:11

03:54

04:15

Solve each system, if poss…

03:34

06:38

Solve each system.$$

03:07

04:12

01:22

02:30

Solve the system of equati…

05:41

02:28

05:52

02:57

04:05

04:37

Solve each system. $$<…

03:01

Solve the system:$$

All right, so we're giving this system of equations. Um, we're gonna use elimination to get solved. Um, we can multiply this first equation by two and then add Subtract this last equation to eliminate X. That's going to give us six wide minus two y for why? Negative eight z minus. Think of three Z a five seed six minus 06 But now, to solve this, to find a second, uh, elimination equation, you're gonna have to multiply this top equation by three in this bottom equation a to. And then you have to add these equations together. That's gonna give us negative six X plus six X. It's gonna give us nine. Why? Plus negative 10. Why, that's a negative. Why don't you give us negative 12 z plus four Z That is negative. Eat and then it's gonna give us nine plus eight is gonna be 17. So this is going to give us why equals, um, if you move this, why over. Move the 17 over. Negative. Easy minus 17. Plug that into this equation. Appear we're gonna get four times negative, E g minus 17 minus five. Z equals six. All right. And now this is gonna give us negative. 32 z is actually gonna be a negative 30 70 once you think this is your account Minus 17 times for 60 beak, he pulls 6 60 plus six is gonna be 74. And so therefore, he's gonna equal negative to now, another disease negative to weaken. Plug in itself for why negativity kinds negative, too. Minus 17 equals negative one. So now we have y equals negative one and equals negative, too. Now, we can plug in this first equation and solve for acts. We're gonna have negative two x three times. Why? It's negative. Three minus four times E plus EQ. You close the three. This is gonna be turned into a plus five. Won't you subtract five. You're gonna get negative two over here, Therefore exiting your one. So now we have a order. Triple Axel I Z equals one negative one. Negatives to you completely used back in to the original equations that were given. Um, and this is our

View More Answers From This Book

Find Another Textbook

Numerade Educator

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…

$$\begin{aligned}&x-2 y+4 z=3\\&…

Solve each system.$$\begin{array}{r}x-y+2 z=3 \\2 x+y-z=5 \\3 x-3 y+6 z=…

Solve each system of equations.$$\begin{aligned} 3 x+2 y+z &=1 \\ x+…

Solve each system of linear equations.$$\begin{array}{l}3 y-4 x+5 z=…

$$\begin{aligned}2 x+3 y+z &=13 …

Solve each system of linear equations.$$\begin{aligned}2 y+z-x &…

Solve each system, if possible.$$\left\{\begin{array}{l}x+y+z=3 \\2 x+y+…

Solve each system of equations.$$\begin{array}{l} x-2 y-3 z=4 \\ 2 x-4 y…

Solve each system.$$\left\{\begin{aligned}3(2 x+y)+5 z &=-1 …

Solve each system.$$\begin{array}{r} x+2 y-3 z=0 \\ 2 x-y+z=0 \\ 3 x+y-4…

Solve each system of linear equations.$$\begin{array}{rr}2 x-3 y+z= …

Solve each system.$$\begin{aligned}x-y+z &=2 \\y-z &=3 \\x &…

Solve the system of equations.$$\begin{aligned}x+2 y-z &=5 \\

Solve the system of equations.$$\begin{aligned}x-y+2 z &=-3 \\

Solve the system of equations.$$\begin{aligned}x+3 y+4 z &=1 \\<…

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

Solve each system. $$\left\{\begin{aligned} 3 x+2 y+2 z &=-2 \\ …

Solve the system:$$\left\{\begin{array}{r}2 x-y-z=-3 \\3 x-2…

01:17

Find the greatest common factor for each group of terms.$$48,36 x$$

02:45

Graph the solution set to each system of inequalities and identify each vert…

01:19

For each system find the values of a and $b$ so that the solution set to the…

01:16

Each of Exercises 7–18 contains six similar expressions. For each exercise e…

00:17

Perform these computations.$$\frac{1}{2}-\left(-\frac{1}{4}\right)$$

00:32

For each system find the value of a so that the solution set to the system i…

00:57

What is the slope of a line that is perpendicular to a line with slope $0.24…

00:18

Evaluate each expression without a calculator Use a calculator to check.…

00:20

Solve each system by substitution. Determine whether the equations are indep…

00:30