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Solve each system of equations.

$$\begin{aligned}x+y &=4 \\y-z &=-2 \\x+y+z &=9\end{aligned}$$

$\{(1,3,5)\}$

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

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All right. So you were given our system of equations with experts cycles for why minus equals Negative two X plus y plus equals, not way actually solve this problem using substitution. You can see that you have. Why all of these equations so you're going to do is we can solve for acts in terms of why didn't solve for Z in terms of why plug these all in and then actually solve for why? And then work backwards to solve for accent See. So let's do that. Um, using his first equation, that X is gonna equal four minus y in the second equation waken get that Z equals. Why close to you do that? You just move this negative to over to this side move busy over the side. So then, if we go, this last equation were needed before minus Why that people to act Plus why, plus why plus two equals nine. This is gonna simplify these you're gonna cancel. This is gonna turn into six. When you subtract that, you're gonna get lie close. Three on your bike was three. We know that X equals four minus. Why so executed one d is gonna equal Y plus two z is getting equal five. So I have to go back to double check that these answers make sense. X plus y it's one plus three equals four. Why? Minus Z three minus five equals negative too. And if you some all of these, you're gonna it not So now we have or order trip All destroyed. It is this equals one comma. Three comma thought yes.

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