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Solve each system.

$$\begin{aligned}0.06 x-0.04 y+z &=6 \\3 x-2 y+50 z &=300 \\0.03 x-0.02 y+0.5 z &=3\end{aligned}$$

$\{(x, y, z): 3 x-2 y+50 z=300\}$

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 Texas at Austin

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Michigan State University

Lectures

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02:13

All right. So you were gonna be given a system that is also multiples of each other t six, and then we have 50 times. This equation is gonna be three x do I 50 z equals 300 then were given 1/2 of the first equation. So point of three acts by this point, there are two y plus 1/2 Z equals three. So again, you should pretty quickly recognizes they're gonna be infinitely many solutions. Since all of these equations air just the same equation, manipulated a little bit, multiplied by different number to sell for one equation, you just plug in zero for Axl, I Z is gonna equal 6006 is an example.

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