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Solve each system of equations.$$\begin{array}{r}x+y+z=9 \\y+z=7 \\z=4\end{array}$$

$\{(2,3,4)\}$

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 North Carolina at Chapel Hill

University of Washington

Lectures

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so here, actually, given a system equations in three variables last to solve exports. Wife was the equals nine. Why plus Z equals seven and Z equals four. So you think substitution is the same as we did with two variables we're solving for one of the variables and we have to plug in to solve through the other ones. So here you're given that Z equals four. So it's easy to substitute that into the second equation. Do you have? Why cross four equal seven. Therefore, wives equal three. Now you've y goes three z equals four. You use those to solve for acts, scenario eggs plus three cross for equals nine and executed equal to now we have our answer actually close to what was three z equals four. You can write that as X comma. Why Z equals 234

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