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Solve each system of equations.$$\begin{aligned}&x+y+z=10\\&\begin{array}{ll}x-y & =-1 \\x+y & =5\end{array}\end{aligned}$$
$\{(2,3,5)\}$
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
University of North Carolina at Chapel Hill
University of Washington
University of Michigan - Ann Arbor
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All right. So here's our system of equations that were given experts. WIPO's equals tan X minus y equals negative one x plus y equals five. So first, we're gonna look at thes 2nd 2 equations we have to solve for one of the variables. So we can actually just treat this as a system of two equations with two unknowns, um, and saw for um X y and then we can plug an accident. Why appear to solve for Z? So let's do that. Let's move this. Why over to the other side that's going to give us X equals live minus one. Now it's substitute y minus one into this equation for acts. So we're gonna have y minus one plus fly equals five. This is gonna give us to why minus one equals five. If we believe that 1/2 y equal six wives in equal three. Now we substitute. Why was three back into this equation? We have ACS minus three equals negative one and therefore access to. So now we have acts and why? And we can plug those back and up here to solve for Z Do that over here. We know that It's two plus. Why? Just three z close to see people's can. And now, from with this two and three to the other side of the equation, you're gonna death that Z equals spots. All right. Our answer as an ordered pair gonna have backs. Why? Z equals X. Which is to why she knows three. And see which we knows. Five you can plug back in these acts.
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