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Solve each system of equations.
$$\begin{aligned}x+y &=7 \\y-z &=-1 \\x &+3 z=18\end{aligned}$$
$\{(3,4,5)\}$
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
Johns Hopkins University
Michigan State University
University of Michigan - Ann Arbor
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it's Weaver system of equations expose. Why seven y minus Z equals negative one and X plus three z equals 18. So we're gonna have to do. Here's let's use this second equation to solve local high in terms of C is going to give us why equals e minus one. Now we can do is plug this into that first equation that's gonna give us X plus the minus one people seven or expose e equals Keith. Now we have issues of two equations. Um, we could actually solve for X and Z using these two equations. And he's way to do this is just using illumination. If you subtract them, you're gonna get X minus x zero x three Z minus 80. That's two Z 18 minus eight, maybe 10. Since he's gonna eat five and we know that explores equals eight. So excellent equal. Three unclear. X equals three and B equals five. Complied back in right here. And you know why is gonna equals e minus one. So why is gonna equal four now? We have to do is double check to make sure that these answers make sense. X plus y equals eight. Yes. Sorry, 73 post for co seven. Why Mine is easy. Why mine is the equals negative one and acts plus three times e equals 18. So our solution external like Z equals +34
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